Math

Ratio Calculator

Simplify a ratio of whole numbers, or solve a proportion.

Simplified ratio

2 : 3

Both parts divided by their greatest common divisor

Decimal

0.6667

Learn more

How this calculator works and what to know before using it

What this calculator does

Reduces a ratio of two whole numbers, or finds the missing term in a proportion.

How to use it

  1. Choose simplify or solve.
  2. Enter the two parts of the ratio. Solving also needs the third term.
  3. Read the reduced ratio or the missing term.

Formula used

Greatest common divisor and a proportion

A simplified ratio divides both whole numbers by their greatest common divisor. The missing term in A : B = C : D is D = B ร— C / A.

Source. A ratio of two whole numbers is reduced by dividing both by their greatest common divisor. The missing term in a : b = c : d is d = b ร— c / a.

Updated November 1, 2026

Example

8 : 12 simplifies to 2 : 3. In the proportion 2 : 3 = 10 : D, the missing term is 15.

Good to know

  • Simplify needs whole numbers other than zero.
  • The proportion works with decimals. The first term cannot be zero.

Common questions

Can I simplify 1.5 : 3?
Not on the simplify setting, which keeps the greatest-common-divisor step exact for whole numbers. Use the proportion setting when the terms are decimals.

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