# How do you simplify -15/16div(-1/2)?

Dec 17, 2016

$\frac{15}{2} = 7 \frac{1}{2}$

#### Explanation:

$- \frac{15}{16} \div \left(- \frac{1}{2}\right) \text{ } \leftarrow$ work with the signs first.

A negative number divided by a negative number makes a positive.

$= + \frac{15}{16} \times \frac{2}{1} \text{ } \leftarrow$ multiply by the reciprocal

$= \frac{15}{\cancel{16}} ^ 2 \times \frac{\cancel{2}}{1}$

$= \frac{15}{2} = 7 \frac{1}{2}$