# How do you write the fraction 5/15 in simplest form?

Mar 7, 2018

The simplified form is $\frac{1}{3}$.

#### Explanation:

Factor the top and the bottom of the fraction, then cancel out any factors in common:

$\textcolor{w h i t e}{=} \frac{5}{15}$

$= \frac{\textcolor{b l u e}{1} \cdot \textcolor{g r e e n}{5}}{\textcolor{\mathmr{and} a n \ge}{3} \cdot \textcolor{g r e e n}{5}}$

$= \frac{\textcolor{b l u e}{1} \cdot \textcolor{red}{\cancel{\textcolor{g r e e n}{5}}}}{\textcolor{\mathmr{and} a n \ge}{3} \cdot \textcolor{red}{\cancel{\textcolor{g r e e n}{5}}}}$

$= \frac{\textcolor{b l u e}{1}}{\textcolor{\mathmr{and} a n \ge}{3}}$

This is the simplified fraction.