#### Answer

$\frac{7}{12}$

#### Work Step by Step

$\frac{7}{16}$$\div$$\frac{3}{8}$$\times$$\frac{1}{2}$
$\frac{7}{16}$$\times$$\frac{8}{3}$$\times$$\frac{1}{2}$
$\frac{7\times8\times1}{16\times3\times2}$
$\frac{7\times1}{2\times3\times2}$
$\frac{7}{12}$