Answer
$=\frac{x}{16}+\frac{3}{8}$
Work Step by Step
$\frac{\frac{x}{3}+2}{5+\frac{1}{3}}$
$=(\frac{x}{3}+2)\div(5+\frac{1}{3})$
$=(\frac{x}{3}+2)\div(\frac{15}{3}+\frac{1}{3})$
$=(\frac{x}{3}+2)\div\frac{16}{3}$
$=(\frac{x}{3}+2)\times\frac{3}{16}$
$=\frac{3}{16}(\frac{x}{3}+\frac{2}{1})$
Use the distributive property to distribute $\frac{3}{16}$ to $(\frac{x}{3}+\frac{2}{1})$
$=\frac{3x}{48}+\frac{6}{16}$
$=\frac{x}{16}+\frac{3}{8}$
