Answer
$\frac{11}{12}x$
Work Step by Step
We first apply the distributive property. Then, we simplify the resultant expression:
$\frac{1}{4}x+\frac{2}{3}x$
=$x(\frac{1}{4}+\frac{2}{3})$
=$x(\frac{1(3)+2(4)}{12})$
=$x(\frac{3+8}{12})$
=$x(\frac{11}{12})$
=$\frac{11}{12}x$