Ratio Calculator
Simplify ratios, scale ratios up or down, share a total amount in a ratio, compare two ratios and convert ratios into fractions, decimals and percentages with worked steps.
Calculator
Scaling settings
Missing value settings
Solve equivalent ratios such as 2:3 = 10:x.
Second ratio
Quick examples
Worked steps
Equivalent forms
Equivalent ratio table
| Multiplier | Equivalent ratio | Total parts |
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How ratio calculations work
A ratio compares quantities. For example, 2:3 means for every 2 parts of the first quantity, there are 3 parts of the second.
To simplify a ratio, divide every part by the highest common factor. To scale a ratio, multiply every part by the same number.
Ratios can also be written as fractions, decimals or percentages of the total, which is useful for recipes, mixing, finance, maps and probability-style questions.
Common ratio uses
Sharing money or quantities
Split a total amount fairly, such as sharing £250 in the ratio 2:3.
Recipes and mixing
Scale ingredients while keeping the same proportions.
Maps and scale drawings
Convert between drawing sizes and real-world measurements.
Comparing values
Check whether two ratios are equivalent or which is larger.