#### Answer

$6\frac{17}{30}$

#### Work Step by Step

$2\frac{1}{6}+4\frac{2}{5}$
$=2\frac{5}{30}+4\frac{12}{30}$
$=6\frac{17}{30}$
Check by estimating.
$2\frac{1}{6}+4\frac{2}{5}$
$2+4$
$=6$
$6\approx6\frac{17}{30}$
Our exact answer is close to $6$, so our answer is reasonable.