Answer
$\frac{5}{12}$
Work Step by Step
We first apply the distributive property. Then, we simplify the resultant expression:
$\frac{5}{9}(\frac{1}{2}+\frac{1}{4})$
=$\frac{5}{9}(\frac{1}{2})+\frac{5}{9}(\frac{1}{4})$
=$\frac{5\times1}{9\times2}+\frac{5\times1}{9\times4}$
=$\frac{5}{18}+\frac{5}{36}$
=$\frac{5(2)+5(1)}{36}$
=$\frac{10+5}{36}$
=$\frac{15}{36}$
=$\frac{5}{12}$
