$$ 3\frac{3}{8} \cdot \frac{4}{11} = \frac{27}{8} \cdot \frac{4}{11} = \frac{27}{2} \cdot \frac{1}{11} = \frac{27}{22} = 1\frac{5}{22} $$
Ответ: $$1\frac{5}{22}$$