#### Answer

$13\frac{13}{24}$

#### Work Step by Step

$3\frac{5}{8}+2\frac{1}{6}+7\frac{3}{4}$
$=3\frac{5}{8}+2\frac{1}{6}+7\frac{6}{8}$
$=3\frac{5}{8}+7\frac{6}{8}+2\frac{1}{6}$
$=10\frac{11}{8}+2\frac{1}{6}$
$=11\frac{3}{8}+2\frac{1}{6}$
$=11\frac{9}{24}+2\frac{4}{24}$
$=13\frac{13}{24}$