#### Answer

$11\frac{4}{15}$

#### Work Step by Step

We combine the fractions by finding the LCD and simplify if necessary:
$4\frac{5}{12}=4\frac{25}{60}$
$6\frac{17}{20}=6\frac{51}{60}$
$4\frac{25}{60}+6\frac{51}{60}=10\frac{76}{60}=10\frac{19}{15}=11\frac{4}{15}$