# How do you simplify 1/3 div 3/4?

Mar 15, 2017

See the entire simplification process below:

#### Explanation:

First, rewrite this expression as:

$\frac{\frac{1}{3}}{\frac{3}{4}}$

Now, use the following rule for dividing fractions:

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

Substituting gives:

$\frac{\frac{\textcolor{red}{1}}{\textcolor{b l u e}{3}}}{\frac{\textcolor{g r e e n}{3}}{\textcolor{p u r p \le}{4}}} = \frac{\textcolor{red}{1} \times \textcolor{p u r p \le}{4}}{\textcolor{b l u e}{3} \times \textcolor{g r e e n}{3}} = \frac{4}{9}$