# What is the quotient of 6 1/4 divided by 1/2?

Sep 15, 2015

$6 \frac{1}{4} \div 12 = \frac{25}{48}$

#### Explanation:

Dividing by $12$ is the same as multiplying by $\frac{1}{12}$

$6 \frac{1}{4} \div 12 = 6 \frac{1}{4} \times \frac{1}{12}$

Re-writing $6 \frac{1}{4}$ as an improper fraction:

$\textcolor{w h i t e}{\text{XXX}} = \frac{25}{4} \times \frac{1}{12}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{25}{4 \times 12}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{25}{48}$