#### Answer

$9\displaystyle \frac{13}{24}$

#### Work Step by Step

We combine the fractions by finding the LCD and simplify if necessary. We convert $16\frac{15}{24}$ to $15\frac{39}{24}$ to avoid negatives with mixed fractions.
$16\displaystyle \frac{5}{8}-4\frac{7}{12}-2\frac{1}{2} =16\displaystyle \frac{15}{24}-4\frac{14}{24}-2\frac{12}{24} =15\displaystyle \frac{39}{24}-4\frac{14}{24}-2\frac{12}{24} =9\displaystyle \frac{13}{24}$