# What is 1/2 divided by 1/3?

Sep 10, 2015

$\frac{1}{2}$ divided by $\frac{1}{3} = \frac{3}{2}$

#### Explanation:

$a \div b$ is the same as $a \times \frac{1}{b}$

$\frac{1}{2} \div \frac{1}{3}$ is the same as $\frac{1}{2} \times \frac{1}{\frac{1}{3}}$

$\frac{1}{\frac{1}{3}} = 3$

$\frac{1}{2} \div \frac{1}{3}$ is the same as $\frac{1}{2} \times 3 = \frac{3}{2}$