Ratio Simplifier – Clear Formulas Included

Ratio Simplifier

Our Ratio Simplifier Calculator helps you reduce any ratio to its simplest form. Just enter your ratio, and we'll find the greatest common divisor (GCD) to simplify it for you, making complex ratios easy to understand.

Enter Ratio

e.g., 12:18 or 10:15:25

How it works

Our Ratio Simplifier Calculator helps you reduce any ratio to its simplest form. Just enter your ratio, and we'll find the greatest common divisor (GCD) to simplify it for you, making complex ratios easy to understand.

The Formula

To simplify a ratio A:B (or A:B:C, etc.):
1. Find the Greatest Common Divisor (GCD) of all numbers in the ratio. 2. Divide each number in the ratio by the GCD.

Worked Example

Simplifying 12:18
Let's simplify the ratio 12:18. First, we find the GCD of 12 and 18, which is 6. Then, we divide each part by 6: 12 ÷ 6 = 2 and 18 ÷ 6 = 3. So, the simplified ratio is 2:3.

Tips, Assumptions & Limitations

Ratios can have two or more parts (e.g., 2:3 or 2:3:4).
Ensure all numbers in your ratio are positive integers.
The simplified ratio represents the same relationship between the quantities.

FAQ

A ratio compares two or more quantities. For example, if you have 3 apples and 2 oranges, the ratio of apples to oranges is 3:2.

Simplifying ratios makes them easier to understand and compare. It expresses the relationship between quantities using the smallest possible whole numbers.

Yes, our calculator can simplify ratios with any number of parts, as long as they are positive whole numbers.