# How do you evaluate  \frac { 12} { 7} \div ( - \frac { 6} { 11} )?

Mar 18, 2018

See a solution process below:

#### Explanation:

First, we can rewrite this expression as:

$\frac{\frac{12}{7}}{\frac{- 6}{11}}$

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

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

$\frac{\frac{\textcolor{red}{12}}{\textcolor{b l u e}{7}}}{\frac{\textcolor{g r e e n}{- 6}}{\textcolor{p u r p \le}{11}}} \implies$

$\frac{\textcolor{red}{12} \times \textcolor{p u r p \le}{11}}{\textcolor{b l u e}{7} \times \textcolor{g r e e n}{- 6}} \implies$

$\frac{\cancel{\textcolor{red}{12}} \textcolor{red}{2} \times \textcolor{p u r p \le}{11}}{\textcolor{b l u e}{7} \times \cancel{\textcolor{g r e e n}{- 6}} \textcolor{g r e e n}{- 1}} \implies$

$\frac{22}{-} 7 \implies$

$- \frac{22}{7}$