# How do you simplify (-1/2) / ( [- sqrt3] / 2)?

Jan 23, 2016

$\frac{1}{\sqrt{3}}$

#### Explanation:

Require to divide numerator by denominator.

dividing a fraction by a fraction is equivalent to

fraction (numerator ) $\times \textcolor{b l a c k}{\text{ reciprocal of fraction}}$

on denominator.

so $\frac{- \frac{1}{2}}{- \frac{\sqrt{3}}{2}} = - \frac{1}{2} \times \frac{2}{-} \sqrt{3}$

= $- \frac{1}{\cancel{2}} \times \frac{\cancel{2}}{- \sqrt{3}} = \frac{1}{\sqrt{3}}$