Question

which expression is equivalent to \\(\frac{2}{3}x + 1\\)?\
a \\(\frac{1}{3}(2x + 3)\\)\
b \\(\frac{2}{3}(2x + 3)\\)\
c \\(\frac{2}{3}(3x + 2)\\)\
d \\(\frac{2}{3}(3x + 1)\\)

Explanation:

Step1: Expand option A

$\frac{1}{3}(2x + 3) = \frac{2}{3}x + \frac{3}{3} = \frac{2}{3}x + 1$

Step2: Compare with original expression

Original expression is $\frac{2}{3}x + 1$, which matches the expanded result of option A.

Answer:

A. $\frac{1}{3}(2x + 3)$