# How do you solve \frac { 1} { 2} \div \frac { - 5} { 7} ?

Sep 18, 2017

See a solution process below:

#### Explanation:

First, rewrite the expression as: $\frac{\frac{1}{2}}{\frac{- 5}{7}}$

Now, use this rule for dividing fractions:

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

$\frac{\frac{\textcolor{red}{1}}{\textcolor{b l u e}{2}}}{\frac{\textcolor{g r e e n}{- 5}}{\textcolor{p u r p \le}{7}}} \implies \frac{\textcolor{red}{1} \times \textcolor{p u r p \le}{7}}{\textcolor{b l u e}{2} \times \textcolor{g r e e n}{- 5}} \implies \frac{7}{-} 10 \implies - \frac{7}{10}$