Answer
$n=\frac{3}{4}$
Work Step by Step
$\frac{n}{1\frac{1}{5}}=\frac{4\frac{1}{6}}{6\frac{2}{3}}$ $\Rightarrow$ convert mixed numbers
$\frac{n}{\frac{6}{5}}=\frac{\frac{25}{6}}{\frac{20}{3}}$ $\Rightarrow$ simplify compound fraction
$\frac{n}{\frac{6}{5}}={\frac{/\!\!5\times5}{/\!\!3\times2}}\times{\frac{/\!\!3}{/\!\!5\times4}}$ $\Rightarrow$ multiply
$\frac{n}{\frac{6}{5}}=\frac{5}{8}$$\Rightarrow$ cross multiply
$8n=\frac{6}{/\!\!5}\times/\!\!5$ $\Rightarrow$multiply
$8n=6$$\Rightarrow$ multiplication poperty of equality
$\frac{8n}{8}=\frac{6}{8}$$\Rightarrow$simplify
$\frac{8n}{8}=\frac{6\div2}{8\div2}$$\Rightarrow$simplify
$n=\frac{3}{4}$
