Elementary Algebra

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