$$\frac{3}{8} \cdot 2\frac{2}{7} \cdot 4\frac{2}{3} = \frac{3}{8} \cdot \frac{16}{7} \cdot \frac{14}{3} = \frac{1}{1} \cdot \frac{2}{1} \cdot \frac{2}{1} = 4$$
Ответ: $$4$$