#### Answer

$7\frac{1}{2}$

#### Work Step by Step

Convert to like fractions.
$2\frac{2}{3}=2\frac{2\times2}{3\times2}=2\frac{4}{6}$
$4\frac{1}{2}=4\frac{1\times3}{2\times3}=4\frac{3}{6}$
To add or subtract fractions with the same denominator, add or subtract the numerators and keep the denominator. Add the whole numbers. Simplify.
$2\frac{4}{6}+4\frac{3}{6}=6\frac{9}{6}=7\frac{3}{6}=7\frac{1}{2}$