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Learn how to work with ratios and solve ratio problems step by step
A ratio shows the relative sizes of two or more values. It can be written as A:B or A/B, and represents how much of one thing there is compared to another.
To simplify a ratio, divide both numbers by their greatest common divisor. For example, the ratio 8:12 simplifies to 2:3 by dividing both by 4.
If you know the ratio and one value, you can find the other using cross-multiplication. For A:B = C:D, if three values are known, the fourth can be calculated.
Convert ratios to percentages by dividing each part by the total and multiplying by 100. For ratio 3:2, the percentages are 60% and 40% respectively.
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Find answers to common questions about ratios and our calculator
A ratio is a mathematical relationship between two numbers that indicates how many times the first number contains the second. Ratios are used to compare values in various contexts such as cooking (recipe ratios), finance (debt-to-equity ratio), maps (scale ratios), and more.
To simplify a ratio, find the greatest common divisor (GCD) of both numbers and divide each by that number. For example, to simplify 15:25, the GCD of 15 and 25 is 5, so dividing both by 5 gives you the simplified ratio of 3:5.
Yes, ratios can involve more than two numbers. For example, a ratio of 2:3:5 compares three different quantities. The simplification process is the same - find the GCD of all numbers and divide each by that number.
If you know the ratio A:B and one of the values, you can find the missing value using cross-multiplication. For example, if the ratio is 3:5 and A is 12, then B = (5 × 12) / 3 = 20. Our calculator automates this process for you.
A ratio is a comparison of two quantities, while a proportion is an equation that states that two ratios are equal. For example, 2:3 is a ratio, while 2:3 = 4:6 is a proportion.
Our ratio calculator provides highly accurate results using precise mathematical algorithms. It handles both whole numbers and decimals, and simplifies ratios to their lowest terms using the Euclidean algorithm for finding the greatest common divisor.
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