# How do you solve 1 1/4x = -3 3/4?

Aug 1, 2015

Simplify by converting the mixed fractions to improper fractions, then clear the denominators and divide to get
$\textcolor{w h i t e}{\text{XXXX}}$$x = - 3$

#### Explanation:

$1 \frac{1}{4} x = - 3 \frac{3}{4}$

Rewriting as improper fractions:
$\frac{5}{4} x = - \frac{15}{4}$

Multiplying both sides by $4$ to clear the denominators
$5 x = - 15$

Divide both sides by $5$
$x = - 3$