Answer
$\frac{4}{3}x$
Work Step by Step
We first apply the distributive property. Then, we simplify the resultant expression:
$\frac{1}{2}x+\frac{2}{3}x+\frac{1}{6}x$
=$x(\frac{1}{2}+\frac{2}{3}+\frac{1}{6})$
=$x(\frac{1(3)+2(2)+1(1)}{6})$
=$x(\frac{3+4+1}{6})$
=$x(\frac{8}{6})$
=$x(\frac{4}{3})$
=$\frac{4}{3}x$
