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

1 Answer
Jan 23, 2016

Answer:

# 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 #