Chapter 3 - Adding and Subtracting Fractions - 3.5 Order Relation and the Order of Operations - 3.5 Exercises - Page 245: 64

$\frac{13}{36}$

$(\frac{2}{3})^2 - (\frac{5}{8} - \frac{1}{2}) \div \frac{3}{2}$ = $\frac{4}{9} - (\frac{5}{8} - \frac{4}{8}) \div \frac{3}{2}$ = $\frac{4}{9} - \frac{1}{8} \div \frac{3}{2}$ = $\frac{4}{9} - \frac{1}{8} \times \frac{2}{3}$ = $\frac{4}{9} - \frac{2}{24}$ = $\frac{4}{9} - \frac{1}{12}$ = $\frac{16}{36} - \frac{3}{36}$ = $\frac{13}{36}$