Решение:
\( -1 \frac{3}{8} : \frac{4}{11} = -\frac{11}{8} : \frac{4}{11} = -\frac{11}{8} \cdot \frac{11}{4} = -\frac{121}{32} = -3 \frac{25}{32} \)
Ответ: -3 \(\frac{25}{32}\)