#### Answer

$\frac {4}{15}$

#### Work Step by Step

($\frac {1}{2}$-$\frac {1}{3}$)$\div$$\frac {5}{8}$
($\frac {1\times3}{2\times3}$-$\frac {1\times2}{3\times2}$)$\div$$\frac {5}{8}$
($\frac {3}{6}$-$\frac {2}{6}$)$\div$$\frac {5}{8}$
($\frac {3-2}{6}$)$\div$$\frac {5}{8}$
($\frac {1}{6}$)$\div$$\frac {5}{8}$
$\frac {1}{6}$$\times$$\frac {8}{5}$
$\frac {8}{30}=\frac {8\div2}{30\div2}=\frac {4}{15}$