# How do you simplify 9 div 3/4?

Jul 6, 2018

See a solution process below:

#### Explanation:

We can rewrite this expression as:

$9 \div \frac{3}{4} \implies \frac{9}{1} \div \frac{3}{4} \implies \frac{\frac{9}{1}}{\frac{3}{4}}$

Now, we can use this rule for dividing fractions to simplify the expression:

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

$\frac{\frac{\textcolor{red}{9}}{\textcolor{b l u e}{1}}}{\frac{\textcolor{g r e e n}{3}}{\textcolor{p u r p \le}{4}}} \implies \frac{\textcolor{red}{9} \times \textcolor{p u r p \le}{4}}{\textcolor{b l u e}{1} \times \textcolor{g r e e n}{3}} \implies \frac{\cancel{\textcolor{red}{9}} \textcolor{red}{3} \times \textcolor{p u r p \le}{4}}{\textcolor{b l u e}{1} \times \cancel{\textcolor{g r e e n}{3}} \textcolor{g r e e n}{1}} \implies \frac{12}{1} \implies 12$