# How do you simplify 5/6 times (3/4 - 1/3)?

$\frac{5}{6} \cdot \left(\frac{3}{4} + \frac{1}{3}\right)$
$= \frac{5}{6} \cdot \left(\frac{9 - 4}{12}\right)$
$= \frac{5}{6} \cdot \frac{5}{12}$
$= \frac{25}{72}$