Question

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

Answer 1

`1/sqrt3`

Explanation:

Require to divide numerator by denominator.

dividing a fraction by a fraction is equivalent to

fraction (numerator ) `xx color(black)(" reciprocal of fraction")`

on denominator.

so `(-1/2)/(-sqrt3/2) = -1/2 xx 2/-sqrt3`

= `-1/cancel(2) xx cancel(2)/(-sqrt3) = 1/sqrt3`