#### Answer

$\frac{341}{15}$

#### Work Step by Step

First write each mixed number as an improper fraction.
$5\frac{1}{6}=\frac{5*6+1}{6}=\frac{30+1}{6}=\frac{31}{6}$
$4\frac{2}{5}=\frac{4*5+2}{5}=\frac{20+2}{5}=\frac{22}{5}$
And now multiply as usual.
$5\frac{1}{6}*4\frac{2}{5}=\frac{31}{6}*\frac{22}{5}=\frac{682}{30}=\frac{341}{15}$