Answer
$\frac{47}{30}x$
Work Step by Step
We first apply the distributive property. Then, we simplify the resultant expression:
$\frac{1}{3}x+\frac{2}{5}x+\frac{5}{6}x$
=$x(\frac{1}{3}+\frac{2}{5}+\frac{5}{6})$
=$x(\frac{1(10)+2(6)+5(5)}{30})$
=$x(\frac{10+12+25}{30})$
=$x(\frac{10+12+25}{30})$
=$x(\frac{47}{30})$
=$\frac{47}{30}x$
