Answer
$x = \frac{3}{4}$
Work Step by Step
$\frac{6\frac{2}{3}}{4\frac{1}{6}} = \frac{\frac{6}{5}}{x}$
$6\frac{2}{3}x = 4\frac{1}{6}\times\frac{6}{5}$
$\frac{20}{3}x = \frac{25}{6}\times\frac{6}{5}$
$\frac{3}{20}\times\frac{20}{3}x = \frac{3}{20}\times\frac{25}{6}\times\frac{6}{5}$
$\frac{3\div3}{20\div20}\times\frac{20\div5\div20}{3\div3}x = \frac{3}{20}\times\frac{25\div5\div5}{6\div6}\times\frac{6\div6}{5\div5}$
$x = \frac{3}{4}\times\frac{1}{1}\times\frac{1}{1}$
$x = \frac{3}{4}$
