# How do you simplify 6 div 1/2?

Apr 29, 2017

See the entire solution process below:

#### Explanation:

First, rewrite this expression as:

$\frac{6}{\frac{1}{2}}$ which can again be rewritten as: $\frac{\frac{6}{1}}{\frac{1}{2}}$

We can now use this rule for dividing fractions:

$\frac{\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}}{\frac{\textcolor{g r e e n}{c}}{\textcolor{p u r p \le}{d}}} = \frac{\textcolor{red}{a} \times \textcolor{p u r p \le}{d}}{\textcolor{b l u e}{b} \times \textcolor{g r e e n}{c}}$

$\frac{\frac{\textcolor{red}{6}}{\textcolor{b l u e}{1}}}{\frac{\textcolor{g r e e n}{1}}{\textcolor{p u r p \le}{2}}} = \frac{\textcolor{red}{6} \times \textcolor{p u r p \le}{2}}{\textcolor{b l u e}{1} \times \textcolor{g r e e n}{1}} = \frac{12}{1} = 12$