Question

1. which expression is equivalent to $\frac{3}{4}(4h - 6)$?

a $3h - \frac{9}{2}$
b $4h + \frac{9}{2}$
c $3h - 6$
d $4h + 6$

Explanation:

Step1: Distribute the fraction

$\frac{3}{4}(4h - 6) = \frac{3}{4} \times 4h - \frac{3}{4} \times 6$

Step2: Simplify each term

$\frac{3}{4} \times 4h = 3h$, $\frac{3}{4} \times 6 = \frac{18}{4} = \frac{9}{2}$

Step3: Combine simplified terms

$3h - \frac{9}{2}$

Answer:

A. $3h - \frac{9}{2}$