Ratio Calculator

Simplify a ratio

Simplified ratio-
A ÷ B-
A as % of total-

Solve A : B = C : D

Leave one box empty; the calculator fills in the missing number.

Missing value-

How it works

To simplify a ratio, divide both numbers by their greatest common divisor. 12:18 has a GCD of 6, so it simplifies to 2:3. Decimals are scaled up to whole numbers first. To solve A:B = C:D, cross-multiply: A × D = B × C, so D = B × C ÷ A.

Example: a recipe uses 2 cups of rice to 3 cups of water. For 10 cups of rice you need D = 3 × 10 ÷ 2 = 15 cups of water.

FAQ

How do I simplify a ratio?

Find the greatest common divisor of both numbers and divide each by it. 45:60 → GCD 15 → 3:4.

How do I scale a ratio up?

Multiply both sides by the same number. 3:4 scaled by 5 gives 15:20. Use the solver above when you know one side of the new ratio.

Can a ratio have decimals?

Yes. 1.5:2.5 is the same as 15:25, which simplifies to 3:5.

Is my data stored?

No, everything is calculated in your browser.

See also: Percentage Calculator · Percent Change Calculator · Average Calculator