#### Answer

$16\frac{9}{10}$

#### Work Step by Step

$4\frac{1}{3}+9\frac{2}{5}+3\frac{1}{6}$
$=4\frac{1}{3}+3\frac{1}{6}+9\frac{2}{5}$
$=4\frac{2}{6}+3\frac{1}{6}+9\frac{2}{5}$
$=7\frac{3}{6}+9\frac{2}{5}$
$=7\frac{1}{2}+9\frac{2}{5}$
$=7\frac{5}{10}+9\frac{4}{10}$
$=16\frac{9}{10}$