Решение:
a) $$2 \frac{3}{5} \cdot 1 \frac{2}{3} \cdot 5 \frac{2}{24} = \frac{13}{5} \cdot \frac{5}{3} \cdot \frac{122}{24} = \frac{13 \cdot 5 \cdot 122}{5 \cdot 3 \cdot 24} = \frac{13 \cdot 122}{3 \cdot 24} = \frac{13 \cdot 61}{3 \cdot 12} = \frac{793}{36} = 22 \frac{1}{36}$$
Ответ: $$22 \frac{1}{36}$$