#### Answer

$11\frac{5}{16}$

#### Work Step by Step

We combine the fractions by finding the LCD and simplify if necessary:
$3\displaystyle \frac{9}{16}+4\frac{7}{12}+3\frac{1}{6}=3\displaystyle \frac{27}{48}+4\frac{28}{48}+3\frac{8}{48} =10\displaystyle \frac{63}{48}=10\frac{21}{16}=11\frac{5}{16}$