#### Answer

$\frac{28}{39}$

#### Work Step by Step

2$\frac{4}{5}$ $\div$ 3$\frac{9}{10}$
=$\frac{14}{5}$ $\div$ $\frac{39}{10}$
=$\frac{14}{5}$ $\times$$\frac{10}{39}$
=$\frac{14\times10}{5\times39}$
=$\frac{14\times5\times2}{5\times39}$
=$\frac{14\times2}{39}$
=$\frac{28}{39}$