a) $$4 \frac{1}{2} + 2 \frac{1}{3} = \frac{9}{2} + \frac{7}{3} = \frac{9 \cdot 3 + 7 \cdot 2}{6} = \frac{27+14}{6} = \frac{41}{6} = 6 \frac{5}{6}$$
Ответ: $$6 \frac{5}{6}$$