\[\frac{5}{6}\sqrt{14\frac{2}{5}} = \frac{2}{3}\sqrt{22\frac{1}{2}}\]
\[\frac{5}{6}\sqrt{14\frac{2}{5}} = \sqrt{\frac{25}{36} \cdot \frac{72}{5}} = \sqrt{10}\]
\[\frac{2}{3}\sqrt{22\frac{1}{2}} = \sqrt{\frac{4}{9} \cdot \frac{45}{2}} = \sqrt{10}\]