# What is 3/4 divided by 2/5?

Sep 11, 2015

$\frac{3}{4} \div \frac{2}{5} = \frac{15}{8}$

#### Explanation:

Dividing is the same as multiplying by the reciprocal.

The reciprocal of $\frac{2}{5}$ is $\frac{5}{2}$

Therefore
$\frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2}$

$\textcolor{w h i t e}{\text{XXXX}} = \frac{3 \times 5}{4 \times 2}$

$\textcolor{w h i t e}{\text{XXXX}} = \frac{15}{8}$