Simplify Fraction Calculator





Formula

The following formula can be used to simplify any fraction:

\[ \frac{X}{Y} \rightarrow \text{Simplified to} \frac{A}{B} \]

\[ \frac{A}{B} = \frac{X}{\text{GCD}(X,Y)} / \frac{Y}{\text{GCD}(X,Y)} \]

Where:

Simplify Fraction Definition

Simplifying a fraction is defined as reducing a fraction to the lowest equivalent fraction that can be displayed as whole numbers.

Example

Let's say you have a fraction \( \frac{18}{24} \). To simplify this fraction, you need to find the greatest common divisor (GCD) of 18 and 24.

The GCD of 18 and 24 is 6.

Using the formula:

\[ \frac{18}{24} \rightarrow \frac{18 / 6}{24 / 6} = \frac{3}{4} \]

Therefore, the simplified fraction is \( \frac{3}{4} \).