ratio
ratio in 30 Seconds
- A ratio is a mathematical comparison of two numbers, showing how much of one thing exists in relation to another thing.
- Commonly written with a colon (e.g., 2:1), ratios are essential for recipes, financial analysis, and describing proportions in daily life.
- Understanding ratios allows for scaling quantities up or down while keeping the same balance between the individual parts of a whole.
- In modern slang, 'to ratio' means a social media post has received significantly more negative replies than positive likes or shares.
The word ratio is a fundamental mathematical and conceptual tool used to describe the relationship between two or more quantities. At its simplest level, a ratio tells us how many times one value contains or is contained within another. It is not just a number; it is a comparison that remains constant even as the total amounts change. For example, if you are making orange juice from concentrate, the instructions might tell you to use a ratio of one part juice to three parts water. This means whether you are making a single glass or a giant bathtub full of juice, the relationship between the juice and the water stays the same. This concept is vital because it allows us to scale things up or down while maintaining the essential character or balance of the mixture or situation. In daily life, we use ratios constantly without even realizing it. When we talk about the speed of a car, we are looking at a ratio of distance to time. When we look at a map, we are seeing a ratio of inches on paper to miles on the ground. The beauty of a ratio is its ability to simplify complex relationships into understandable pairs of numbers, usually separated by a colon or the word 'to'. It provides a sense of proportion that is necessary for everything from architecture and engineering to cooking and financial analysis.
- Mathematical Notation
- In mathematics, a ratio is often written as 'a:b', which is read as 'a to b'. It can also be expressed as a fraction, though its conceptual meaning differs slightly from a standard fraction representing a part of a whole.
The ratio of flour to sugar in this cake recipe is precisely two to one, ensuring the perfect texture and sweetness.
Beyond the kitchen and the classroom, the term has found a significant home in the world of finance and economics. Investors look at the 'price-to-earnings ratio' to determine if a stock is a good value. This ratio compares the price of a single share to the profit the company makes per share. Similarly, banks look at a person's 'debt-to-income ratio' to decide if they are a safe person to lend money to. These applications show that ratios are not just for abstract math; they are critical for making high-stakes decisions. Furthermore, in the modern digital age, the word has taken on a new, informal meaning on social media platforms like X (formerly Twitter). To be 'ratioed' means that a post has received significantly more critical replies than 'likes' or 'reposts,' implying that the original post was unpopular or controversial. This linguistic evolution demonstrates how a technical mathematical term can adapt to describe social dynamics. Whether you are calculating the steepness of a roof, the intensity of a color in a painting, or the popularity of a political opinion, you are engaging with the concept of a ratio. It is a bridge between raw data and meaningful comparison, allowing us to quantify the balance of the world around us in a way that is both precise and intuitive.
- Proportional Thinking
- Understanding ratios is the first step toward proportional thinking, which is the ability to recognize that if one quantity doubles, the other must also double to maintain the same relationship.
The teacher noted that the student-to-teacher ratio in the private school was much lower than in the public school.
In scientific contexts, ratios are indispensable for chemistry and physics. A chemical formula like H2O represents a fixed ratio of two hydrogen atoms to one oxygen atom. If that ratio changes, the substance itself changes. This illustrates that ratios often define the identity of a substance or a system. In physics, the ratio of force to area is defined as pressure. In these instances, the ratio is the very definition of a new physical property. The word also appears in demographics, where researchers study the sex ratio (the number of males to females in a population) or the dependency ratio (the number of non-working people compared to the working population). These statistics help governments plan for future needs like schools or hospitals. By comparing different groups, ratios reveal trends and disparities that raw numbers alone might hide. For instance, knowing there are 1,000 doctors in a city tells you very little until you know the ratio of doctors to citizens. If there are 1,000 doctors for 1,000 people, that is excellent; if there are 1,000 doctors for 10,000,000 people, that is a crisis. Thus, the ratio provides the context necessary for data to become information.
During the experiment, the scientist maintained a strict ratio of three parts acid to seven parts distilled water.
- Visual Representation
- Ratios can be visualized using bar models or tape diagrams, where each unit represents a part of the ratio, helping learners see the relative sizes of the quantities.
The aspect ratio of a standard widescreen television is 16:9, which describes the width relative to the height.
Ultimately, the concept of a ratio is about comparison and balance. It allows us to speak about how things relate to one another without getting bogged down in the specific totals. Whether in the arts, where the 'golden ratio' is said to create the most aesthetically pleasing proportions, or in everyday life, where we compare the price per ounce of different grocery items, ratios are the silent language of logic and order. They help us understand that size is relative and that the relationship between parts is often more important than the parts themselves. Mastering the use of this word and the concept it represents is essential for anyone looking to navigate the worlds of science, business, or even social media with clarity and precision. It is a word that scales from the smallest atomic interactions to the vastest economic systems, proving itself as one of the most versatile and necessary terms in the English language.
If you increase the ratio of exercise to calorie intake, you will likely lose weight over time.
Using the word ratio correctly involves understanding its grammatical role as a noun and its logical requirement for a comparison between at least two things. In most sentences, 'ratio' is followed by the preposition 'of', which then introduces the two items being compared, usually joined by the word 'to'. For example, 'The ratio of sugar to flour' or 'The ratio of wins to losses'. It is a countable noun, meaning it can be pluralized into 'ratios' when discussing multiple different comparisons. When constructing a sentence, it is vital to ensure that the order of the items mentioned matches the order of the numbers provided. If you state that the ratio of cats to dogs is 5:1, it implies there are five cats for every one dog. Reversing this order changes the meaning entirely. This precision is what makes the word so useful in technical and descriptive writing. It can act as the subject of a sentence, such as 'The ratio was disappointing,' or as an object, as in 'We calculated the ratio carefully.' It also frequently appears in prepositional phrases like 'in a ratio of' or 'at a ratio of'.
- Common Sentence Structure
- [Subject] + [Verb] + a ratio of [Number] to [Number]. Example: The recipe requires a ratio of 2 to 1.
To achieve the best results, the gardener maintained a ratio of one part fertilizer to ten parts water.
In more complex sentences, 'ratio' can be modified by adjectives to provide more specific information. Common modifiers include 'high', 'low', 'fixed', 'variable', 'optimal', and 'disproportionate'. A 'high ratio' suggests that the first item is significantly more prevalent than the second, while a 'low ratio' suggests the opposite. For instance, 'A high ratio of staff to patients ensures better care' means there are many staff members for each patient. In business writing, you might encounter 'liquidity ratio' or 'profitability ratio', where the adjective describes the specific type of financial comparison being made. The word can also be used in the context of probability and statistics, where one might say, 'The ratio of success to failure is improving.' This versatility allows 'ratio' to move seamlessly from a simple description of a recipe to a complex analysis of corporate health. It is also common to see it used with verbs like 'calculate', 'determine', 'maintain', 'increase', or 'decrease', reflecting the active nature of measuring and managing proportions.
- Using with Adjectives
- Adjectives like 'inverse' or 'direct' describe how the ratio behaves. An inverse ratio means as one value goes up, the other goes down.
The engineer calculated the gear ratio to ensure the bicycle could climb steep hills easily.
Furthermore, 'ratio' is often used to describe physical dimensions. In photography and film, the 'aspect ratio' is the comparison of width to height of an image. You might say, 'The film was shot in a 4:3 aspect ratio to give it a vintage feel.' In this case, the ratio describes a visual shape rather than a quantity of items. Another interesting usage is in the phrase 'in direct ratio to', which means something changes in the same way as something else. For example, 'Success is often in direct ratio to the amount of effort invested.' This usage is slightly more formal and is common in essays and academic discussions. It's also worth noting that while 'ratio' is a noun, it can be used attributively to modify other nouns, as in 'ratio analysis' or 'ratio scale'. This flexibility is a hallmark of English nouns, but 'ratio' is particularly prone to it because of its role in technical fields. When using it, always consider whether your audience needs the specific numbers or just the general sense of the relationship. If you provide the numbers, the colon (:) is the standard punctuation to use between them in written form.
We need to keep the ratio of salt to water consistent throughout the entire pickling process.
- Formal vs. Informal
- In formal writing, 'ratio' is almost always a mathematical term. In informal slang, 'to ratio' is used as a verb meaning to out-comment a post.
The bank's capital ratio is a key indicator of its financial stability during an economic downturn.
Finally, remember that 'ratio' is a very specific type of comparison. While 'percentage' and 'fraction' are related, they aren't always interchangeable. A ratio of 1:1 means two equal parts, which is 50% each. A ratio of 3:1 means there are four parts total, so the first item is 75% of the total. Being aware of these mathematical nuances will help you use the word more accurately in sentences involving data. Whether you are a student writing a lab report, a chef writing a cookbook, or a business person presenting a quarterly review, the word 'ratio' provides a precise way to describe how parts of a whole interact. Its consistent structure—the ratio of X to Y—makes it one of the most stable and reliable words in your vocabulary once you master the basic pattern. By practicing with different contexts, from the simple (2:1) to the complex (the debt-to-GDP ratio), you will become comfortable using this essential term in any professional or academic setting.
The city council is concerned about the high ratio of cars to available parking spaces in the downtown area.
The word ratio is ubiquitous, appearing in a vast array of environments ranging from the highly technical to the completely casual. If you step into a professional kitchen, you will hear chefs discussing the ratio of oil to vinegar in a vinaigrette (usually 3:1) or the ratio of water to rice. In this context, the word is a matter of life and death for the quality of the food. A failed ratio means a failed dish. Similarly, in the world of fitness and nutrition, people often talk about their 'macronutrient ratio'—the balance of proteins, fats, and carbohydrates in their diet. You might hear a gym-goer say, 'I'm trying to maintain a 40/30/30 ratio to build muscle.' Here, the word helps individuals quantify their health goals. In these everyday scenarios, 'ratio' is a practical tool for achieving consistency and desired outcomes. It is a word that suggests control and precision in one's personal and professional habits.
- In the Kitchen
- 'Follow the ratio' is a common mantra for bakers who prefer weight-based measurements over volume-based ones for better accuracy.
The barista explained that the ratio of coffee grounds to water is the most important factor in a good brew.
Moving into the corporate and financial world, 'ratio' becomes a language of its own. On news channels like Bloomberg or CNBC, you will hear analysts discuss 'price-to-earnings ratios' (P/E ratios) to evaluate whether the stock market is overvalued. You might hear a news anchor say, 'The market's P/E ratio has reached historic highs, sparking fears of a bubble.' In this setting, the word carries the weight of billions of dollars. Financial advisors use 'debt-to-income ratios' to determine if a client can afford a mortgage. If you listen to a business podcast, you'll hear about 'customer acquisition cost ratios' or 'churn ratios'. In these professional spheres, 'ratio' isn't just a comparison; it's a diagnostic tool used to measure the health and efficiency of an entire organization. It's a word that signals expertise and analytical thinking, used by those who look beneath the surface of raw numbers to find the underlying trends.
- On Financial News
- Analysts use ratios to compare companies of different sizes, as a ratio provides a standardized way to look at performance.
The commentator noted that the quarterback's touchdown-to-interception ratio was the best in the league this season.
In the world of technology and social media, the word has taken a fascinating turn. If you spend time on platforms like X (Twitter) or Reddit, you will encounter the term 'the ratio' or the verb 'to ratio'. This refers to a situation where a post's reply count significantly exceeds its like or repost count, usually indicating that the post is being widely mocked or criticized. You might see a comment that simply says, 'Ratio,' which is an attempt by the commenter to get more likes than the original post they are replying to. This is a purely digital, modern usage that has turned a mathematical concept into a social weapon. Additionally, in gaming, players obsess over their 'K/D ratio' (kill-to-death ratio). A high K/D ratio is a badge of honor, showing that a player is skilled. Hearing a teenager shout about their ratio during an online match is a common occurrence in many households today. This shows how the word has permeated youth culture, albeit in a very specific, competitive way.
He was so embarrassed when his controversial tweet got ratioed by thousands of angry users within minutes.
- In Gaming
- 'K/D ratio' is one of the most common metrics used to rank players in first-person shooter games like Call of Duty or Halo.
The designer suggested changing the aspect ratio of the website's header image to better fit mobile screens.
Finally, you will hear 'ratio' in educational and scientific settings. Teachers use it to explain basic math, and scientists use it to describe everything from the composition of the atmosphere to the results of a clinical trial. In a doctor's office, you might hear about your 'cholesterol ratio,' which compares 'good' HDL cholesterol to 'bad' LDL cholesterol. This is a crucial health metric that is more informative than just looking at the total cholesterol number. In all these places—the kitchen, the stock market, the gaming chair, and the doctor's office—the word 'ratio' serves as a vital shorthand for relationship. It allows us to communicate complex comparisons quickly and accurately. Whether it's about the perfect cup of coffee, the health of the economy, or a viral moment on the internet, 'ratio' is a word that helps us make sense of the proportions that define our lives. Understanding where and how it is used allows you to participate in these diverse conversations with confidence.
The scientist explained that the ratio of carbon isotopes can be used to determine the age of ancient artifacts.
One of the most frequent mistakes people make with the word ratio is confusing it with a fraction or a percentage, although they are mathematically related. A ratio compares two parts to each other, whereas a fraction usually compares a part to the whole. For example, if there are 2 boys and 3 girls in a room, the ratio of boys to girls is 2:3. However, the fraction of boys in the room is 2/5 (two out of a total of five people). Confusing these can lead to significant errors in fields like medicine or chemistry where precise dosing is required. Another common error is reversing the order of the items in the ratio. If a recipe calls for a 2:1 ratio of water to rice, but you put in two parts rice for every one part water, your meal will be ruined. The order of the numbers must strictly follow the order of the nouns they describe. This is a 'syntax' error of logic that can happen even if the math itself is correct. Always double-check that 'X to Y' matches 'Number X : Number Y'.
- The 'Part-to-Whole' Confusion
- Mistake: Saying the ratio of boys is 2/5. Correction: The ratio is 2:3; the fraction is 2/5.
Many students mistakenly think a ratio of 1:1 means 100% of something, when it actually means two equal halves.
Another subtle mistake involves the use of the word 'ratio' when 'proportion' or 'rate' might be more appropriate. While often used interchangeably in casual speech, they have distinct technical meanings. A 'rate' usually involves different units, like miles per hour (distance and time), while a 'ratio' often involves the same units, like 2 cups to 1 cup. Using 'ratio' to describe speed is technically incorrect in a formal scientific context. Additionally, people sometimes fail to simplify their ratios, which can make them harder to understand. While 100:50 is technically a ratio, it is much clearer to express it as 2:1. In professional writing, failing to simplify can make the author seem less mathematically literate. Furthermore, there is the common grammatical mistake of using the wrong preposition. The standard is 'ratio of [A] to [B]'. Using 'ratio between [A] and [B]' is also acceptable, but 'ratio for [A] and [B]' is generally considered incorrect and awkward. Consistency in prepositional use helps maintain the formal tone expected when using this word.
- Simplification Errors
- Mistake: 'The ratio is 50 to 100.' Correction: 'The ratio is 1 to 2.' Always simplify to the lowest terms for clarity.
Don't use the word ratio when you are actually talking about a simple percentage of a single group.
In the modern slang context, a common mistake is using 'ratio' as a verb in formal settings. While it is perfectly fine to say 'He got ratioed on Twitter' among friends or on the internet, using it this way in a business report or an academic essay would be highly inappropriate. It is a very recent linguistic development and has not yet been accepted into formal English. Another error is the 'false comparison' ratio. This happens when someone tries to create a ratio between two things that aren't comparable or aren't clearly defined. For example, saying 'the ratio of happiness to apples' makes no sense unless a specific metric for happiness is established. In logical arguments, creating meaningless ratios is a common fallacy used to confuse the listener. Finally, people often forget that ratios are relative, not absolute. A 10:1 ratio of staff to customers sounds great, but if there is only 1 customer, it's a very different situation than if there are 1,000 customers. Forgetting the scale behind the ratio can lead to poor decision-making.
The accountant warned that the ratio was misleading because it didn't account for seasonal changes in sales.
- Preposition Pitfalls
- Mistake: 'The ratio with water and juice.' Correction: 'The ratio of water to juice.' Use 'of' and 'to' for the most professional phrasing.
It is a common ratio error to assume that a 2:1 ratio is the same as a 2/1 fraction, which equals 2.
To avoid these mistakes, always visualize what the ratio is actually representing. If it's a recipe, imagine the cups or spoonfuls. If it's a financial metric, think about the dollars. If it's a social media 'ratio', think about the number of people arguing versus the number of people agreeing. By grounding the mathematical term in a concrete image, you are much less likely to flip the numbers, use the wrong preposition, or confuse it with a fraction. The word 'ratio' is a powerful tool for clarity, but only if it is used with the precision it demands. Taking a moment to verify the order and the context will ensure that your use of 'ratio' adds value to your communication rather than causing confusion. Whether you are a native speaker or learning English as a second language, these pitfalls are common, but they are easily avoided with a little extra attention to the logic of the comparison you are making.
The news report was criticized for using an incorrect ratio that exaggerated the crime rate in the city.
While ratio is a very specific term, there are several other words that describe similar concepts of comparison and relationship. The most common alternative is proportion. While 'ratio' usually refers to the relationship between two specific numbers (like 2:1), 'proportion' often refers to the relationship of a part to the whole or the equality of two ratios. For example, you might say 'a large proportion of the students passed,' meaning a large percentage. In art and design, 'proportion' refers to the pleasing relationship between different parts of a whole, like the size of a person's head relative to their body. Another similar word is fraction. As discussed in the common mistakes section, a fraction is a numerical representation of a part of a whole (like 1/2). While a ratio can be written as a fraction, the conceptual focus of a fraction is usually on how much of the 'whole cake' you have, whereas a ratio focuses on how the 'cake' compares to the 'icing'.
- Ratio vs. Proportion
- A ratio is a comparison of two things (2:1). A proportion is a statement that two ratios are equal (2:1 = 4:2), or a general sense of relative size.
The architect ensured that the proportion of the windows to the wall was aesthetically pleasing and functional.
In scientific and technical contexts, you might use the word rate. A rate is a special kind of ratio where the two things being compared have different units. Speed is a rate (miles per hour), and heart rate is a rate (beats per minute). While all rates are ratios, not all ratios are rates. If you are comparing two quantities of the same unit, like two liters of water to one liter of juice, it is strictly a ratio. Another useful term is scale. Scale refers to the ratio between a representation (like a map or a model) and the real thing. A 1:100 scale model means every inch on the model represents 100 inches in real life. 'Scale' is the word of choice in engineering, geography, and model-building. It implies a consistent ratio applied across an entire object or area. Using 'scale' instead of 'ratio' in these contexts shows a higher level of technical vocabulary. Similarly, quota is a word used when a ratio is used to set a limit or a requirement, such as a 'hiring quota' based on demographic ratios.
- Ratio vs. Rate
- Use 'ratio' for same-unit comparisons (2 cups:1 cup). Use 'rate' for different-unit comparisons (60 miles:1 hour).
The map's scale was so small that it was difficult to see the individual streets of the village.
In more informal or literary settings, you might use words like balance or relationship. While 'ratio' sounds mathematical, 'balance' sounds more artistic or personal. You might say 'the balance of power' instead of 'the ratio of power'. 'Relationship' is the most general term and can be used when you don't want to imply a specific numerical comparison. For instance, 'the relationship between effort and reward' is a less precise way of saying 'the ratio of effort to reward'. In the world of statistics, correlation is a related but much more complex term. A correlation describes how two variables change together, but it doesn't necessarily imply a fixed ratio. Finally, in the context of probability, you might use odds. Odds are a ratio of the probability that an event will happen to the probability that it will not (e.g., 3 to 1 odds). Understanding these nuances allows you to choose the word that best fits the 'flavor' of your sentence, whether you want to sound technical, artistic, or casual.
The odds of winning the lottery are so low that it's often called a 'tax on people who are bad at math'.
- Contextual Choice
- Choose 'ratio' when you have two specific numbers. Choose 'proportion' when discussing a part of a whole. Choose 'rate' when time or speed is involved.
Maintaining a healthy work-life balance is essential for long-term career satisfaction and mental health.
In summary, while 'ratio' is the king of numerical comparisons, its relatives—proportion, fraction, rate, scale, quota, balance, relationship, correlation, and odds—each have their own special territories. Knowing when to swap 'ratio' for one of these alternatives can make your writing more precise and your speech more natural. It's like having a toolbox; 'ratio' is the hammer you use for most things, but sometimes you need the screwdriver of 'rate' or the measuring tape of 'scale' to get the job done right. By expanding your vocabulary to include these similar words, you gain a deeper understanding of the many ways we can describe the connections between the things in our world. This versatility is a key marker of advanced language proficiency and clear, logical thinking across all disciplines.
The correlation between smoking and lung cancer was established through decades of rigorous medical research.
How Formal Is It?
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Fun Fact
The words 'reason' and 'rational' come from the same Latin root as 'ratio'. This is why we call numbers that can be expressed as a ratio of two integers 'rational numbers'.
Pronunciation Guide
- Pronouncing it as 'ra-tee-oh'. The 'ti' should sound like 'sh'.
- Saying 'rash-ee-oh' with a short 'a'. It should be a long 'a' like in 'play'.
- Confusing it with 'radio'. Make sure to emphasize the 'sh' sound.
- Mumbling the final 'o'. It should be clear.
- Putting the stress on the second syllable.
Difficulty Rating
The word is easy to recognize, but its meaning can be technical in some texts.
Requires correct use of prepositions like 'of' and 'to'.
Commonly used in everyday topics like cooking and sports.
Easy to hear, though often spoken quickly in financial news.
What to Learn Next
Prerequisites
Learn Next
Advanced
Grammar to Know
Use 'of' and 'to' to connect the quantities in a ratio.
The ratio of A to B.
Ratios can be used as subjects or objects in a sentence.
The ratio is high. (Subject) / I found the ratio. (Object)
Pluralize 'ratio' to 'ratios' when discussing multiple comparisons.
We compared the ratios of several different countries.
Use a colon (:) to represent 'to' in written mathematical ratios.
The ratio is 3:1.
Adjectives often precede 'ratio' to describe its nature.
A high ratio, a fixed ratio, an optimal ratio.
Examples by Level
The ratio of boys to girls in the class is 1:1.
Le ratio garçons-filles dans la classe est de 1:1.
The word 'to' is used to connect the two parts of the ratio.
Use a ratio of two cups of water to one cup of rice.
Utilisez un ratio de deux tasses d'eau pour une tasse de riz.
A ratio can describe a recipe or a mixture.
The ratio of red apples to green apples is 3 to 2.
Le ratio de pommes rouges par rapport aux pommes vertes est de 3 pour 2.
You can write the ratio with the word 'to' or a colon.
What is the ratio of pens to pencils on your desk?
Quel est le ratio de stylos par rapport aux crayons sur ton bureau ?
This is a simple question about a comparison.
The ratio of sun to rain this week was very good.
Le ratio soleil-pluie cette semaine était très bon.
Ratio can be used for non-countable things like weather in a simple way.
We need a ratio of 1:2 for the juice and water.
Nous avons besoin d'un ratio de 1:2 pour le jus et l'eau.
1:2 is read as 'one to two'.
The ratio of cats to dogs in the park is 1 to 5.
Le ratio de chats par rapport aux chiens dans le parc est de 1 pour 5.
The order of the words matches the order of the numbers.
Is the ratio of sugar to salt correct in this soup?
Le ratio sucre-sel est-il correct dans cette soupe ?
Asking about the balance of ingredients.
The map uses a ratio of 1:50,000 to show the distance.
La carte utilise une échelle de 1:50 000 pour indiquer la distance.
In maps, ratio is often called 'scale'.
The win-loss ratio for our football team is 3:1.
Le ratio victoires-défaites de notre équipe de football est de 3:1.
Commonly used in sports statistics.
The ratio of staff to students is 1 to 15 at this school.
Le ratio personnel-étudiants est de 1 pour 15 dans cette école.
Describes the size of a group relative to another.
You should have a high ratio of vegetables in your diet.
Tu devrais avoir un ratio élevé de légumes dans ton alimentation.
'High ratio' means the first item is much more than the second.
The ratio of screen width to height is 16 to 9.
Le ratio largeur-hauteur de l'écran est de 16 pour 9.
This describes the 'aspect ratio' of a screen.
The ratio of positive to negative reviews was surprising.
Le ratio d'avis positifs par rapport aux avis négatifs était surprenant.
Comparing two types of feedback.
The ratio of calories to nutrients is important for health.
Le ratio calories-nutriments est important pour la santé.
Comparing the energy content to the nutritional value.
The company maintains a strict ratio of male to female employees.
L'entreprise maintient un ratio strict d'employés hommes et femmes.
Using ratio to talk about workplace balance.
The bank checked my debt-to-income ratio before giving me a loan.
La banque a vérifié mon ratio d'endettement avant de m'accorder un prêt.
A specific financial term using a compound noun.
The ratio of oxygen to hydrogen in water is 1:2 by atoms.
Le ratio oxygène-hydrogène dans l'eau est de 1:2 en termes d'atomes.
Scientific application of ratio in chemistry.
The ratio of successful projects to failed ones has improved this year.
Le ratio de projets réussis par rapport aux projets échoués s'est amélioré cette année.
Comparing outcomes over time.
The engine requires a specific fuel-to-air ratio to run efficiently.
Le moteur nécessite un ratio air-carburant spécifique pour fonctionner efficacement.
Technical use of ratio in engineering.
The ratio of urban to rural population is changing rapidly in Asia.
Le ratio de la population urbaine par rapport à la population rurale change rapidement en Asie.
Demographic use of ratio.
The recipe says the ratio of liquid to solid should be equal.
La recette indique que le ratio liquide-solide doit être égal.
Using 'equal' to describe a 1:1 ratio.
The ratio of profit to investment was not high enough for the company.
Le ratio profit-investissement n'était pas assez élevé pour l'entreprise.
Evaluating financial performance.
The student-teacher ratio in private schools is often much lower.
Le ratio élèves-enseignant dans les écoles privées est souvent bien plus bas.
A common social metric in education.
The liquidity ratio indicates whether a company can pay its short-term debts.
Le ratio de liquidité indique si une entreprise peut payer ses dettes à court terme.
Advanced business terminology.
The ratio of carbon isotopes helps scientists date ancient fossils.
Le ratio d'isotopes de carbone aide les scientifiques à dater les fossiles anciens.
Scientific use in archaeology and physics.
There is an inverse ratio between the price of the product and its demand.
Il existe un ratio inverse entre le prix du produit et sa demande.
'Inverse ratio' is a key concept in economics.
The architect used the golden ratio to design the proportions of the building.
L'architecte a utilisé le nombre d'or pour concevoir les proportions du bâtiment.
'Golden ratio' refers to a specific mathematical constant (approx 1.618).
The dependency ratio is a major concern for countries with aging populations.
Le ratio de dépendance est une préoccupation majeure pour les pays aux populations vieillissantes.
Sociological and economic term.
The signal-to-noise ratio in the communication was very poor.
Le rapport signal/bruit dans la communication était très mauvais.
Technical term used in engineering and acoustics.
The ratio of capital to risk-weighted assets is a key bank regulation.
Le ratio fonds propres/actifs pondérés par les risques est une réglementation bancaire clé.
High-level financial regulation terminology.
The success of the marketing campaign is measured by the conversion ratio.
Le succès de la campagne marketing est mesuré par le ratio de conversion.
Marketing metric for efficiency.
The researcher noted that the sex ratio at birth had skewed significantly in the region.
Le chercheur a noté que le ratio de masculinité à la naissance avait considérablement dévié dans la région.
Skewed is used here to describe a ratio that is not balanced.
The efficacy of the treatment was found to be in direct ratio to the patient's adherence to the protocol.
L'efficacité du traitement s'est avérée être en rapport direct avec l'adhésion du patient au protocole.
'In direct ratio to' means they increase or decrease together.
In the digital age, the signal-to-noise ratio of information has plummeted.
À l'ère du numérique, le rapport signal/bruit de l'information a chuté.
Metaphorical use of a technical term to describe information overload.
The company's price-to-earnings ratio is so high that many analysts consider it overvalued.
Le ratio cours/bénéfice de l'entreprise est si élevé que de nombreux analystes la considèrent surévaluée.
Commonly abbreviated as P/E ratio in financial circles.
The gear ratio determines the mechanical advantage gained in the transmission system.
Le rapport d'engrenage détermine l'avantage mécanique obtenu dans le système de transmission.
Technical engineering term.
The philosopher argued that the ratio of pleasure to pain is the ultimate measure of morality.
Le philosophe a soutenu que le ratio plaisir-douleur est la mesure ultime de la moralité.
Abstract application of the concept in ethics.
The study examined the ratio of public spending to private investment in infrastructure.
L'étude a examiné le ratio des dépenses publiques par rapport aux investissements privés dans les infrastructures.
Economic analysis phrasing.
He was famously ratioed on social media after making a particularly tone-deaf comment.
Il a été célèbrement 'ratioed' sur les réseaux sociaux après avoir fait un commentaire particulièrement déplacé.
Modern slang usage of 'ratio' as a verb.
The catastrophic failure was attributed to a microscopic shift in the stoichiometric ratio of the reactants.
L'échec catastrophique a été attribué à un changement microscopique dans le rapport stœchiométrique des réactifs.
Highly technical chemical term (stoichiometric ratio).
The aesthetic allure of the Parthenon is often attributed to its adherence to the golden ratio.
L'attrait esthétique du Parthénon est souvent attribué à son respect du nombre d'or.
Sophisticated art history and mathematical context.
In the realm of quantum mechanics, the ratio of probability amplitudes determines the state of the system.
Dans le domaine de la mécanique quantique, le rapport des amplitudes de probabilité détermine l'état du système.
Highly abstract scientific application.
The central bank's decision was influenced by the worsening ratio of sovereign debt to GDP.
La décision de la banque centrale a été influencée par l'aggravation du ratio de la dette souveraine par rapport au PIB.
Macroeconomic policy terminology.
The poet explored the delicate ratio of silence to sound in the creation of meaning.
Le poète a exploré le ratio délicat entre le silence et le son dans la création de sens.
Literary and philosophical use of the term.
The compression ratio of the engine was tuned to maximize thermal efficiency at high altitudes.
Le taux de compression du moteur a été réglé pour maximiser l'efficacité thermique à haute altitude.
Specialized mechanical engineering term.
The sociopolitical stability of the region is threatened by the skewed ratio of young men to available employment.
La stabilité sociopolitique de la région est menacée par le ratio déséquilibré de jeunes hommes par rapport aux emplois disponibles.
Complex sociological analysis.
The software uses a complex ratio of weighted variables to determine the relevance of search results.
Le logiciel utilise un ratio complexe de variables pondérées pour déterminer la pertinence des résultats de recherche.
Technical computer science application.
Synonyms
Common Collocations
Common Phrases
— Used to introduce the specific numbers of the comparison.
Mix the ingredients in a ratio of 3 to 1.
— Similar to 'in a ratio of', often used for rates or ongoing processes.
The bacteria grow at a ratio of two to one every hour.
— The standard way to state a comparison between two items.
The ratio of wins to losses was impressive.
— To keep the relationship between two things the same over time.
It is hard to maintain a 1:1 ratio of work and sleep.
— To perform the math needed to find the comparison.
We need to calculate the ratio of cost to profit.
— When two things increase or decrease together.
Height is often in direct ratio to age during childhood.
— When one thing increases while the other decreases.
The price is in inverse ratio to the quantity available.
— A ratio that is not balanced or is biased toward one side.
The survey had a skewed ratio of male respondents.
— The best possible balance between two things for a specific goal.
Athletes seek the optimal ratio of rest to training.
— A ratio expressed in its lowest possible whole numbers.
The ratio 10:5 can be simplified to the simple ratio 2:1.
Often Confused With
A fraction (1/2) is part of a whole; a ratio (1:1) is a comparison of two parts.
Proportion is often more general (a large portion); ratio is usually specific (2:1).
A rate compares different units (miles per hour); a ratio often compares the same units (cups to cups).
Idioms & Expressions
— To receive significantly more critical replies than 'likes' on a social media post.
The politician got ratioed after his controversial comment.
slang— A mathematical ratio (1.618) believed to be aesthetically perfect.
Her face perfectly matches the golden ratio.
neutral— Something that changes exactly as another thing changes.
His anger grew in direct ratio to the noise in the room.
formal— A common way to describe how often someone succeeds compared to how often they try.
His ratio of success in sales is the highest in the office.
neutral— To achieve a specific target proportion.
We finally hit the ratio of sales we needed for the bonus.
informal— To change a previously established proportion.
Adding more water will break the ratio of the soup.
neutral— When something is not in the correct proportion.
The tires look out of ratio with the size of the car.
informal— A measure of an engine's performance relative to the vehicle's mass.
Sports cars have a very high power-to-weight ratio.
technical— The amount of useful information compared to irrelevant data.
The signal-to-noise ratio on the internet is getting worse.
technical/metaphorical— The record of victories compared to defeats.
The coach was fired because of his poor win-loss ratio.
neutralEasily Confused
Similar spelling and sound.
A 'ration' is a fixed amount of food or supplies allowed for one person. A 'ratio' is a mathematical comparison.
The soldiers received their daily ration of bread.
Same root word.
'Rational' means based on reason or logic. 'Ratio' is the numerical comparison itself.
It was a rational decision to save money.
Similar sound in fast speech.
A 'radio' is a device for receiving signals. A 'ratio' is a mathematical term.
Turn up the volume on the radio.
Both are mathematical terms starting with 'ra'.
A 'radius' is the distance from the center of a circle to its edge. A 'ratio' is a comparison of two numbers.
The radius of the circle is 5 centimeters.
Both compare quantities.
A 'rate' usually involves time or speed (miles per hour). A 'ratio' is more general (2 parts to 1 part).
The car was traveling at a high rate of speed.
Sentence Patterns
The ratio of [Noun] to [Noun] is [Number] to [Number].
The ratio of apples to oranges is 2 to 1.
Use a [Number]:[Number] ratio of [Noun] and [Noun].
Use a 1:3 ratio of juice and water.
[Noun] should be in a ratio of [Number] to [Number].
The sand and cement should be in a ratio of 3 to 1.
The [Adjective] ratio of [Noun] to [Noun] is [Number]:[Number].
The aspect ratio of the screen is 16:9.
[Noun] is in [Adjective] ratio to [Noun].
Effort is in direct ratio to reward.
A [Adjective] shift in the [Noun] ratio led to [Result].
A microscopic shift in the stoichiometric ratio led to an explosion.
He got [Verb] on [Noun].
He got ratioed on Twitter.
The [Noun]-to-[Noun] ratio is [Number].
The signal-to-noise ratio is 50 decibels.
Word Family
Nouns
Verbs
Adjectives
Related
How to Use It
The word 'ratio' is highly frequent in technical, academic, and instructional English.
-
The ratio of boys is 2/3.
→
The ratio of boys to girls is 2:3.
A ratio compares two things. You can't have a ratio of just one thing. If you want to use a fraction, say 'Two-thirds of the students are boys.'
-
Mix the juice and water in a ratio for 1 to 2.
→
Mix the juice and water in a ratio of 1 to 2.
The correct preposition to use after 'ratio' is 'of'. 'For' is grammatically incorrect in this context.
-
The ratio of water to rice is 1:2 (but you meant 2 cups water, 1 cup rice).
→
The ratio of water to rice is 2:1.
The first number must correspond to the first noun mentioned. Reversing them will result in the wrong mixture.
-
The car was moving at a ratio of 60 miles per hour.
→
The car was moving at a rate of 60 miles per hour.
When comparing different units like miles and hours, 'rate' is the more accurate technical term than 'ratio'.
-
The ratio of the students passed the exam.
→
A large proportion of the students passed the exam.
When talking about a part of a whole group without using specific numbers, 'proportion' or 'percentage' is better than 'ratio'.
Tips
Use the right prepositions
Always use 'ratio of [something] to [something else]'. Using other prepositions like 'with' or 'for' can make your sentence sound incorrect or confusing to native speakers.
Simplify for clarity
Just like fractions, ratios are easier to understand when they are simplified. Instead of saying 20:10, say 2:1. It conveys the same relationship but is much easier for the brain to process.
Match nouns and numbers
Be very careful that the order of your words matches the order of your numbers. If you change the order, you change the meaning of the comparison, which can be a serious error in technical writing.
Pronounce the 'sh' sound
Remember that the 'ti' in ratio is pronounced like 'sh'. Practicing this will help you avoid the common mistake of saying 'ra-tee-oh', making your English sound more natural and fluent.
Know your audience
Use 'ratio' for specific numerical comparisons. If you are speaking generally about balance without using numbers, words like 'proportion' or 'balance' might be more appropriate and less technical.
Use 'ratioed' carefully
The slang term 'ratioed' is only for social media and informal talk. Never use it in a formal essay or a business meeting, as it is considered very casual and non-professional.
Total parts matters
To find the total number of parts, add the two numbers in the ratio together. In a 3:1 ratio, there are 4 total parts. This is essential if you need to convert the ratio into a fraction or percentage.
Learn common compounds
Learning terms like 'aspect ratio' or 'student-teacher ratio' as single units of meaning will help you understand news reports and technical documents much faster than translating word by word.
Draw a picture
If you are confused by a ratio, draw it out. Use dots or boxes to represent the numbers. Seeing 'three dots and one dot' makes the 3:1 relationship immediately clear and easier to work with.
Don't confuse with 'ration'
Check your spelling! A 'ration' (no 'o' at the end) is a portion of food. Mixing these up in writing is a common mistake that can make your work look careless to a reader.
Memorize It
Mnemonic
Think of 'RA-tio' as 'RA-te of TWO'. It helps you remember that a ratio is a rate comparing two different things.
Visual Association
Imagine a seesaw with '2' on one side and '1' on the other. This visual balance represents a 2:1 ratio.
Word Web
Challenge
Look around your room right now. Find two different things (like books and pens) and write down the ratio of one to the other.
Word Origin
The word 'ratio' comes from the Latin word 'ratio', which means 'reason', 'calculation', or 'account'. It is derived from the verb 'reri', meaning 'to think' or 'to reckon'. This shows that a ratio is essentially a way of 'reckoning' or thinking about the relationship between numbers.
Original meaning: In Latin, it originally referred to a mental process of calculation or the ability to reason.
Indo-European > Italic > LatinCultural Context
Be careful when discussing 'sex ratios' or 'dependency ratios' in sensitive political or social contexts, as these can be controversial topics.
In the UK and US, 'ratio' is most commonly taught in middle school math (ages 11-14).
Practice in Real Life
Real-World Contexts
Cooking
- ratio of water to rice
- mix in a ratio of
- follow the ratio
- double the ratio
Finance
- debt-to-income ratio
- price-to-earnings ratio
- liquidity ratio
- profit ratio
Education
- student-teacher ratio
- ratio of boys to girls
- passing ratio
- attendance ratio
Technology
- aspect ratio
- compression ratio
- signal-to-noise ratio
- gear ratio
Social Media
- get ratioed
- check the ratio
- ratio of likes to replies
- the ratio is crazy
Conversation Starters
"What is the best ratio of coffee to water for a perfect cup?"
"Do you think the student-teacher ratio in schools should be lower?"
"Have you ever seen someone get ratioed on social media?"
"What is the aspect ratio of your favorite movie?"
"How do you maintain a good ratio between work and fun?"
Journal Prompts
Describe the ratio of time you spend on your phone versus reading books. How do you feel about it?
Think about your favorite recipe. Explain the ratio of ingredients that makes it taste so good.
If you could change the ratio of work days to weekend days, what would your ideal ratio be?
Analyze the ratio of positive news to negative news you hear in a day. Does it affect your mood?
Write about a time you had to calculate a ratio to solve a problem at home or work.
Frequently Asked Questions
10 questionsA 1:1 ratio means that there are equal amounts of two things. For example, if you have 5 apples and 5 oranges, the ratio is 1:1. It is often used to describe a perfect balance or an even split between two groups.
You can write a ratio in three ways: using a colon (2:1), using the word 'to' (2 to 1), or as a fraction (2/1). In mathematical and technical writing, the colon is the most common format.
No, but they are related. A ratio compares two parts (1 part sugar to 4 parts flour), while a percentage compares a part to the whole (20% sugar). In a 1:4 ratio, the first part is actually 20% of the total (1 out of 5 parts).
It means your post has many more 'replies' than 'likes'. This usually happens when many people disagree with what you said and are commenting to criticize you, while very few people are clicking the 'like' button.
Yes, a ratio can compare more than two things. For example, a concrete mix might have a ratio of 1:2:3 for cement, sand, and gravel. This shows how all three parts relate to each other in the mixture.
The order tells you which number goes with which item. If you say the ratio of 'water to juice' is 3:1, it means 3 parts water. If you flip it to 1:3, it means only 1 part water, which is a very different drink!
This is a financial calculation that compares how much money you owe (debt) to how much money you earn (income). Banks use this ratio to decide if you can afford to pay back a new loan or mortgage.
The Golden Ratio is a special number (about 1.618) often found in nature and art. Many people believe that things designed using this ratio look more beautiful and balanced to the human eye.
You simplify a ratio by dividing both numbers by the same largest number that goes into both. For example, a 10:5 ratio can be simplified by dividing both by 5, which gives you a 2:1 ratio.
An aspect ratio describes the shape of a screen or an image by comparing its width to its height. For example, a 16:9 aspect ratio is the standard shape for modern widescreen televisions and computer monitors.
Test Yourself 180 questions
Write a sentence using 'ratio' to describe a class with 10 boys and 10 girls.
Well written! Good try! Check the sample answer below.
Write a ratio for 3 cups of water and 1 cup of juice.
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Explain what a 2:1 ratio of milk to water means in a recipe.
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Write a sentence about a win-loss ratio for a sports team.
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Why would a bank look at a debt-to-income ratio?
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Write a sentence about the ratio of staff to customers in a store.
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Describe the aspect ratio of a typical smartphone screen.
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Explain the concept of an inverse ratio using an example.
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Discuss the significance of the Golden Ratio in architecture.
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What does it mean when a public figure gets 'ratioed' on social media?
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Analyze the impact of a high dependency ratio on a country's economy.
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Explain how stoichiometric ratios are essential for chemical reactions.
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Use the word 'ratio' in a sentence about your favorite fruit.
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Write a sentence about a map scale.
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Write a sentence about a student-teacher ratio.
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Explain gear ratios in a sentence.
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Write a sentence about a sex ratio in a population.
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Describe a signal-to-noise ratio metaphorically.
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What is a simple definition of ratio?
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Write a sentence using 'high ratio'.
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Say the ratio '2:1' out loud.
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Say: 'The ratio of boys to girls is one to one.'
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Explain a 3:1 ratio of water to juice to a friend.
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Say: 'This map has a ratio of one to fifty thousand.'
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Tell someone why a low student-teacher ratio is good.
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Describe a win-loss ratio of 4:1 for your favorite team.
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Explain what 'aspect ratio' means for a TV.
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Say: 'The liquidity ratio is an important financial metric.'
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Explain the slang term 'getting ratioed' to an older person.
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Discuss the 'Golden Ratio' in a few sentences.
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Describe the dependency ratio's impact on social security.
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Explain signal-to-noise ratio in a metaphorical sense.
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Say: 'Ratio is a math word.'
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Ask: 'What is the ratio of sugar to salt?'
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Say: 'We need to maintain a strict ratio.'
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Say: 'The gear ratio on this bike is perfect.'
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Say: 'His success was in direct ratio to his effort.'
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Say: 'The stoichiometric ratio must be precisely one to two.'
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Say: 'One to two.'
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Say: 'The ratio is high.'
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Listen and write the ratio: 'The ratio is three to one.'
Listen and write the ratio: 'The ratio is five to two.'
Listen and write the ratio: 'One to ten thousand.'
Listen and write: 'The ratio of men to women is one to one.'
Listen and write: 'Check the debt-to-income ratio.'
Listen and write: 'The win-loss ratio was four to three.'
Listen and write: 'Adjust the aspect ratio to sixteen by nine.'
Listen and write: 'The compression ratio is ten to one.'
Listen and write: 'He was ratioed on social media.'
Listen and write: 'The Golden Ratio is an irrational number.'
Listen and write: 'The stoichiometric ratio is essential for balance.'
Listen and write: 'Monitor the signal-to-noise ratio carefully.'
Listen: 'Ratio'. Spell it.
Listen and identify the number: 'The ratio is four to six.'
Listen: 'Ratio of sugar to salt'. Which comes first?
/ 180 correct
Perfect score!
Summary
The word 'ratio' is a versatile tool for comparing quantities. Whether you are mixing ingredients in a 2:1 ratio or analyzing a company's debt-to-income ratio, it always describes the relationship between parts. Example: 'The ratio of success to effort is rarely 1:1.'
- A ratio is a mathematical comparison of two numbers, showing how much of one thing exists in relation to another thing.
- Commonly written with a colon (e.g., 2:1), ratios are essential for recipes, financial analysis, and describing proportions in daily life.
- Understanding ratios allows for scaling quantities up or down while keeping the same balance between the individual parts of a whole.
- In modern slang, 'to ratio' means a social media post has received significantly more negative replies than positive likes or shares.
Use the right prepositions
Always use 'ratio of [something] to [something else]'. Using other prepositions like 'with' or 'for' can make your sentence sound incorrect or confusing to native speakers.
Simplify for clarity
Just like fractions, ratios are easier to understand when they are simplified. Instead of saying 20:10, say 2:1. It conveys the same relationship but is much easier for the brain to process.
Match nouns and numbers
Be very careful that the order of your words matches the order of your numbers. If you change the order, you change the meaning of the comparison, which can be a serious error in technical writing.
Pronounce the 'sh' sound
Remember that the 'ti' in ratio is pronounced like 'sh'. Practicing this will help you avoid the common mistake of saying 'ra-tee-oh', making your English sound more natural and fluent.
Example
The ratio of boys to girls in the class is one to two.
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