Answer
$\frac{7}{26}$
Work Step by Step
We first apply the distributive property. Then, we simplify the resultant expression:
$\frac{7}{13}(\frac{2}{3}-\frac{1}{6})$
=$\frac{7}{13}(\frac{2}{3})-\frac{7}{13}(\frac{1}{6})$
=$\frac{7\times2}{13\times3}-\frac{7\times1}{13\times6}$
=$\frac{14}{39}-\frac{7}{78}$
=$\frac{2(14)-7(1)}{78}$
=$\frac{28-7}{78}$
=$\frac{21}{78}$
=$\frac{7}{26}$
