Answer
$\frac{32}{55}$
Work Step by Step
5$\frac{1}{3}$$\div$9$\frac{1}{6}$
=$\frac{5\times3+1}{3}$$\div$$\frac{9\times6+1}{6}$
=$\frac{15+1}{3}$$\div$$\frac{54+1}{6}$
=$\frac{16}{3}$$\div$$\frac{55}{6}$
=$\frac{16}{3}$$\times$$\frac{6}{55}$
=$\frac{16\times6}{3\times55}$
=$\frac{16\times2\times3}{3\times55}$
=$\frac{16\times2}{55}$
=$\frac{32}{55}$
