# How can you use division to simplify a fraction?

Apr 19, 2016

You divide the numerator and denominator by a number

#### Explanation:

So you're trying to simplify a fraction

if that fraction is $\frac{10}{20}$

find a whole number that can divide into the numerator and denominator.

if that whole number was 5, then we calculate $\frac{10}{5} = 2$ and $\frac{20}{5} = 4$

now the fraction is simplified to $\frac{2}{4}$, but we can still simplify it.

now that whole number we're using to divide is 2, calculate $\frac{2}{2} = 1$ and $\frac{4}{2} = 2$

$\frac{10}{20}$ in its simplest form is $\frac{1}{2}$

When we add both of those whole numbers $5 + 2$ we get $7$

if you tried evaluating $\frac{10}{7}$ and $\frac{20}{7}$ you wouldn't get a whole number for an answer, but 7 only fits into 10 once, and fits into 20 twice. so the simplest form of $\frac{10}{20}$ must be $\frac{1}{2}$.