# How do you simplify 5/9 *div* (4/9-3/18) ?

Jun 23, 2017

See explanation.

#### Explanation:

First you have to find a common denominator for both fractions in brackets:

## $\frac{5}{9} \div \left(\frac{8}{18} - \frac{3}{18}\right)$

Now you can do the subtraction:

## $\frac{5}{9} \div \frac{5}{18}$ 

Now you have to change the division to multiplication using the formula:

## $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

In the given example you get: