Ratio Calculator

Ratio Calculator

Simplify ratios or solve proportions with a layout that keeps the inputs, the answer, and the reasoning visible together.

Last updated: June 2026 | By Patchworkr Team

Simplified Ratio
2 : 3
Greatest common divisor = 6
Divide both terms by 6 to get 2 : 3.

What Is A Ratio?

A ratio compares two quantities. It can be written with a colon, with a slash, or as a fraction. Simplifying a ratio means dividing both terms by the greatest common divisor.

Proportions state that two ratios are equal. This calculator can solve a missing term when exactly one value is left blank.

How To Use The Ratio Calculator

  1. Choose whether you want to simplify a ratio or solve a proportion.
  2. Enter the values for the selected mode.
  3. Use whole numbers for simplification when possible.
  4. Read the simplified form or the solved value in the result panel.

Worked Example

The ratio 12:18 simplifies to 2:3 because both numbers are divisible by 6.

gcd(12, 18) = 6
12 / 6 = 2
18 / 6 = 3

Frequently Asked Questions

Can I use decimals in simplify mode?

No. Simplifying a ratio here is limited to whole numbers so the result stays exact.

How many blanks can I leave in solve mode?

Exactly one blank is required to solve the proportion.

Does the ratio keep zero terms?

Yes. If one term is zero, the ratio is already as simple as it can be.

Is the proportion result rounded?

The calculator shows a decimal result using standard division.

Related Tools