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Ratio Calculator

Simplify ratios and solve ratio proportions

Ratio Calculator

Enter A : B

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About This Calculator

A ratio calculator simplifies ratios and solves proportions for practical applications across cooking, mixing, finance, academics, and design. A ratio expresses the proportional relationship between two or more quantities — for example, a 3:2 ratio means for every 3 parts of one thing, there are 2 parts of another. The calculator can simplify ratios to their lowest terms (dividing both numbers by their GCD) and solve for missing values in proportions (if 3:5 = x:20, then x = 12). Proportional reasoning — the ability to work with ratios — is one of the most practical math skills. It is used in cooking, mixing solutions, financial analysis (price-to-earnings ratios, debt-to-income ratios), map reading, architecture, photography (aspect ratios like 16:9 and 4:3), and concrete mixing. Enter a ratio to simplify it, or set up a proportion with a missing value to solve it.

How to Use

1
Enter your ratio
Input the ratio values or proportion you want to solve.
2
Choose operation
Select simplify or solve for an unknown proportion value.
3
Get the answer
View the simplified ratio, missing value, or scaled result instantly.

Frequently Asked Questions

Q. How do I simplify a ratio?

Divide both parts of the ratio by their greatest common divisor (GCD). For example, to simplify 24:36, find GCD(24, 36) = 12, then divide both: 24/12 : 36/12 = 2:3. For ratios with three or more parts, divide all parts by the GCD of all the numbers.

Q. How do I solve a proportion with a missing value?

Set up the proportion as a/b = c/d and cross-multiply: a × d = b × c. If 3:5 = x:20, then 3 × 20 = 5 × x, so 60 = 5x, and x = 12. This works for any proportion problem — identify which value is missing and solve the cross-multiplication equation.

Q. How do I convert a ratio to a percentage?

Add the parts of the ratio to get the total, then divide each part by the total and multiply by 100. A ratio of 3:2 has a total of 5 parts. The first is 3/5 × 100 = 60% and the second is 2/5 × 100 = 40%. This is useful for understanding what proportion each component represents.

Q. How do I scale a recipe using ratios?

Divide the desired servings by the original servings to get the scaling factor, then multiply every ingredient by that factor. To convert a 4-serving recipe to 6 servings: 6/4 = 1.5, so multiply all ingredients by 1.5. If the original calls for 2 cups of flour, use 3 cups.

Disclaimer: Results are for informational purposes only and do not constitute professional advice. Always consult qualified professionals for important decisions.

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