Question

1. simplify the expression. \\(\frac{1}{2}(12m + 38)\\)

a. \\(6m + 38\\)
b. \\(24m + 19\\)
c. \\(6m + 76\\)
d. \\(6m + 19\\)

Explanation:

Step1: Apply distributive property

$\frac{1}{2}(12m + 38) = \frac{1}{2} \times 12m + \frac{1}{2} \times 38$

Step2: Calculate each term

$\frac{1}{2} \times 12m = 6m$, $\frac{1}{2} \times 38 = 19$

Step3: Combine simplified terms

$6m + 19$

Answer:

d. $6m + 19$