Question

Which expression is equivalent to -1/4 (3/4 + 2/3)

A: (-1/4 x 3/4) + (-1/4 x 2/3)
B: (-1/4 x 3/4) x (-1/4 x 2/3)
C: (-1/4 + 3/4) x (-1/4 + 2/3)
D: (-1/4 + 3/4) + (-1/4 + 2/3)

Answer 1

Explanation:

We'll be using the Distributive Property in order to find an equivalent expression.

`a(b + c) = ab + ac`

Use the Distributive Property:

`- (1)/(4)( (3)/(4) + (2)/(3)) = ( - ( 1)/(4) * (3)/(4) ) + ( - (1)/(4) * (2)/(3) )`

Option A is correct.