# How do you simplify 3/4 div 6?

Sep 9, 2017

See a solution process below:

#### Explanation:

Rewrite the expression as:

$\frac{3}{4} \div 6 \implies \frac{3}{4} \div \frac{6}{1} \implies \frac{\frac{3}{4}}{\frac{6}{1}}$

Now use this rule for dividing fractions to complete the simplification:

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

$\frac{\frac{\textcolor{red}{3}}{\textcolor{b l u e}{4}}}{\frac{\textcolor{g r e e n}{6}}{\textcolor{p u r p \le}{1}}} \implies \frac{\textcolor{red}{3} \times \textcolor{p u r p \le}{1}}{\textcolor{b l u e}{4} \times \textcolor{g r e e n}{6}} \implies \frac{\cancel{\textcolor{red}{3}} \times \textcolor{p u r p \le}{1}}{\textcolor{b l u e}{4} \times \cancel{\textcolor{g r e e n}{6}} 2} \implies \frac{1}{8}$