Решение:
\( -1 \frac{1}{14} : 5 \frac{5}{7} = -\frac{15}{14} : \frac{40}{7} = -\frac{15}{14} \cdot \frac{7}{40} = -\frac{15}{2} \cdot \frac{1}{40} = -\frac{15}{80} = -\frac{3}{16} \)
Ответ: -\(\frac{3}{16}\)