# How do you simplify the fraction 35/50?

Dec 1, 2016

$\frac{7}{10}$

#### Explanation:

We have to find a $\textcolor{b l u e}{\text{common factor}}$ that will divide into 35 and 50 and reduce the fraction.

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

Since 35 has a last digit of 5 and 50 has a last digit of 0 , this tells us that both numbers are $\textcolor{b l u e}{\text{divisible by 5}}$

rArr35/50=(35÷5)/(50÷5)=7/10larr" in simplest form"

Usually written as ${\cancel{35}}^{7} / {\cancel{50}}^{10} = \frac{7}{10}$

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.