# What is the quotient of -7 divided by 14/3?

Sep 15, 2015

$\textcolor{red}{\frac{- 7}{\frac{14}{3}} = - \frac{3}{2}}$

#### Explanation:

$\frac{- 7}{\frac{14}{3}} = \text{?}$

Step 1. Multiply the numerator by the reciprocal of the denominator.

(-7)/(14/3) = -7 × 3/14 = -(7×3)/14

Step 2. Simplify the fraction.

Divide both top and bottom by the highest common factor ($7$).

-(7×3)/14 = -(1×3)/2 = -3/2

$\frac{- 7}{\frac{14}{3}} = - \frac{3}{2}$