# How do you simplify (-5/x)/(1/4)?

Mar 30, 2018

$\frac{- \frac{5}{x}}{\frac{1}{4}} = - \frac{20}{x}$

#### Explanation:

A fraction divided by a fraction can be simplied as follows:

$\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} \div \frac{c}{d}$

$= \frac{a}{b} \times \frac{d}{c}$

$= \frac{a \times d}{b \times c}$

Apply this result to the given fraction:

$\frac{- \frac{5}{x}}{\frac{1}{4}}$

$= \frac{- 4 \times 5}{1 \times x}$

$= - \frac{20}{x}$