# How do you simplify the fraction 3/15?

Nov 27, 2016

$\frac{1}{5}$

#### Explanation:

We have to find a $\textcolor{b l u e}{\text{common factor}}$ which will divide into 3 and 15 and reduce the fraction.

This process is referred to as $\textcolor{b l u e}{\text{cancelling}}$

The lowest common factor here is $\textcolor{red}{3}$

rArr3/15=(3÷color(red)(3))/(15÷color(red)(3))=1/5

$\text{ Usually written as" 3/15=cancel(3)^1/cancel(15)^5=1/5larr" simplest form}$

A fraction is in $\textcolor{b l u e}{\text{simplest form}}$ when no other factor apart from 1 will divide into the numerator/denominator.