Chapter 4 - Section 4.6 - Complex Fractions and Review of Order of Operations - Exercise Set - Page 284: 24

$\frac{16}{27}$

$(\frac{8}{9})^{2}\div(2-\frac{2}{3})$ $=(\frac{8}{9}\times\frac{8}{9})\div(\frac{6}{3}-\frac{2}{3})$ $=\frac{64}{81}\div\frac{4}{3}$ $=\frac{64}{81}\times\frac{3}{4}$ $=\frac{16}{27}\times\frac{1}{1}$ $=\frac{16}{27}$