Answer
$5 \frac{1}{6}$
Work Step by Step
1. Write mixed numbers as improper fractions:
$1 \frac{1}{2} + 3 \frac{2}{3} = \frac{3}{2} + \frac{11}{3}$
2. Write as equivalent fractions with LCD as denominator:
$\frac{3*3}{2*3} + \frac{11*2}{3*2} = \frac{9}{6} + \frac{22}{6}$
3. Add numerators:
$\frac{9 + 22}{6} = \frac{31}{6} = 5 + \frac{1}{6} = 5 \frac{1}{6}$
