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

Step-by-step explanation:

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

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

Use the Distributive Property:

$- \frac{1}{4}( \frac{3}{4} + \frac{2}{3}) = ( - \frac{ 1}{4} \times \frac{3}{4} ) + ( - \frac{1}{4} \times \frac{2}{3} )$

Option A is correct.