Answer
$=\frac{7}{8}$
Work Step by Step
$\frac{1}{3} \div (\frac{2}{3})(\frac{4}{5})-\frac{1}{4}+\frac{1}{2}$
$=\frac{1}{3} \div \frac{8}{15}-\frac{1}{4}+\frac{1}{2}$
$=\frac{1}{3} \times \frac{15}{8}-\frac{1}{4}+\frac{1}{2}$
$=\frac{15}{24} -\frac{1}{4}+\frac{1}{2}$
$=\frac{15}{24} -\frac{6}{24}+\frac{12}{24}$
$=\frac{21}{24}$
$=\frac{7}{8}$