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Ratio Calculator

Solve a proportion for the missing value, or simplify a ratio to its lowest terms.

Result

Enter your values and select Calculate to see the result.

Runs in your browser — nothing you enter is sent to a server.

How the Ratio Calculator works

Solve A : B = C : ? finds the missing value in a proportion — useful for scaling recipes, maps and image sizes. Simplify a ratio reduces a ratio to its lowest whole-number terms, such as a screen resolution to its aspect ratio. Decimal ratios like 1.5 : 2 are scaled up to whole numbers first.

Formula

D = B × C ÷ A

Where:

A
First term of the known ratio
B
Second term of the known ratio
C
First term of the new ratio

This is cross-multiplication: A × D = B × C.

Examples

3 : 4 = 9 : ?

4 × 9 ÷ 3 = 12.

Simplify 1920 : 1080

Both divide by 120, giving 16 : 9.

Frequently asked questions

How do I scale a recipe with a ratio?

If a recipe for 4 uses 300 g of flour and you're cooking for 6, solve 4 : 300 = 6 : ? to get 450 g.

Fraction Calculator

Add, subtract, multiply and divide fractions, with the answer simplified and shown as a mixed number and decimal.

Calculators

Percentage Calculator

Find a percentage of a number, what percent one number is of another, or the percentage change between two values.

Calculators