Ratio Calculator

Last Updated on March 2, 2026 | 2 : 51 pm by Anas Brittany

Use this ratio calculator to simplify ratios, find equivalent ratios, and solve proportions. Enter two or more numbers to reduce a ratio to its simplest form and learn how ratio calculations work step by step.

Ratio Calculator

What Is a Ratio?

A ratio compares two or more quantities by division. It shows how much of one value there is compared to another.

Ratios are written using a colon:

a : b

For example, a ratio of 4 : 2 means there are twice as many of the first quantity as the second.

How to Do Ratios Step by Step

To simplify a ratio:

  1. Write the numbers as a ratio (for example, 8 : 12)
  2. Find the greatest common divisor (GCD) of the numbers
  3. Divide each number by the GCD

Example:

8 : 12
GCD = 4
8 ÷ 4 = 2
12 ÷ 4 = 3

Simplified ratio = 2 : 3

Equivalent Ratios

Equivalent ratios represent the same relationship.

2 : 3
4 : 6
6 : 9

All of these describe the same proportion.

To create equivalent ratios, multiply or divide both parts by the same number.

Ratios vs Fractions

A ratio like 3 : 4 can also be written as a fraction:

3/4

However, ratios compare quantities, while fractions represent parts of a whole.

Where Ratios Are Used

Ratios are used in many real-world situations:

  • Cooking and recipes
  • Map scales
  • Financial analysis
  • Business comparisons
  • Statistics and probability
  • Engineering and design

Frequently Asked Questions

What is the simplest form of a ratio?

The simplest form is when the numbers share no common factors other than 1.

Can ratios include more than two numbers?

Yes. Ratios can compare three or more quantities, such as 2 : 3 : 5.

Can ratios include decimals?

Yes, but it’s often easier to convert decimals to whole numbers before simplifying.