#### Answer

$\frac{5}{3}$

#### Work Step by Step

($\frac{3}{4}$$\times$$\frac{8}{9}$)$\div$$\frac{2}{5}$=
=($\frac{3\times8}{4\times9}$) $\times$$\frac{5}{2}$=
=($\frac{3\times4\times2}{4\times3\times3}$) $\times$$\frac{5}{2}$=
=$\frac{2}{3}$$\times$$\frac{5}{2}$=$\frac{5}{3}$