Simplify Fractions Calculator

Reduce fractions to their simplest form.

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3 Fraction Simplification - Practical Examples

Definition

What is Fraction Simplification?

Fraction simplification is the process of reducing a fraction to its simplest form, where the numerator and denominator have no common factors other than 1. For example:

Example:

4/8 = 1/2

Both 4 and 8 can be divided by 4, resulting in the simplified fraction 1/2

Steps

How to Simplify Fractions

To simplify a fraction:

1
Find the greatest common divisor (GCD) of the numerator and denominator
2
Divide both the numerator and denominator by the GCD
3
The resulting fraction is in its simplest form

For example, to simplify 6/9:

Example:

GCD of 6 and 9 is 3
6 ÷ 3 = 2
9 ÷ 3 = 3
Simplified fraction: 2/3

Examples

Fraction Simplification - Practical Examples

Example 1 Basic Simplification

Simplify 8/12.

GCD of 8 and 12 is 4
8 ÷ 4 = 2
12 ÷ 4 = 3
Result: 2/3

Example 2 Larger Numbers

Simplify 24/36.

GCD of 24 and 36 is 12
24 ÷ 12 = 2
36 ÷ 12 = 3
Result: 2/3

Example 3 Already Simplified

Simplify 5/7.

GCD of 5 and 7 is 1
Result: 5/7 (already in simplest form)

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