Ratio Calculator

Simplify and scale ratios

About this calculator

Enter A and B to reduce the ratio to its simplest form. Add a third number to find the matching value that keeps the same ratio, useful for recipes, maps and scale models.

The formula

A : B = (A ÷ gcd) : (B ÷ gcd) | D = C × B ÷ A
Worked example1200 : 800 simplifies to 3 : 2. If A grows to 450, B becomes 300.

Frequently asked questions

How do I scale a recipe?

Put the original amount in A, the new amount in C, and read D for the other ingredient.

Can I use decimals?

Yes. They are scaled to whole numbers first.

What is a golden ratio?

About 1.618 : 1; it is just a ratio like any other.