# What is 1/2 divided by 1/5?

Sep 11, 2015

It is $2 \frac{1}{2}$

#### Explanation:

Division of 2 radical numbers is the same as multiplication of the first number by the inverse of the second number:

$\frac{a}{b} : \frac{c}{d} = \frac{a}{b} \cdot \frac{d}{c}$

So in the given example we have:

$\frac{1}{2} : \frac{1}{5} = \frac{1}{2} \cdot \frac{5}{1} = \frac{5}{2} = 2 \frac{1}{2}$