Answer
$=\frac{11}{18}$
Work Step by Step
$(\frac{5}{6}-\frac{1}{3}) \times \frac{1}{3} + \frac{1}{2} \div \frac{9}{8}$
$=(\frac{5}{6}-\frac{2}{6}) \times \frac{1}{3} + \frac{1}{2} \div \frac{9}{8}$
$=\frac{3}{6} \times \frac{1}{3} + \frac{1}{2} \div \frac{9}{8}$
$=\frac{3}{18} + (\frac{1}{2} \div \frac{9}{8})$
$=\frac{3}{18} + (\frac{1}{2} \times \frac{8}{9})$
$=\frac{3}{18} + \frac{8}{18}$
$=\frac{11}{18}$
