Решение:
\[ -1 \frac{1}{7} = -\frac{1 × 7 + 1}{7} = -\frac{8}{7} \]
\[ 1 \frac{5}{16} = \frac{1 × 16 + 5}{16} = \frac{21}{16} \]
\[ -\frac{8}{7} \cdot \frac{21}{16} = -\frac{8 \times 21}{7 \times 16} = -\frac{168}{112} \]
\[ -\frac{168}{112} = -\frac{168 \div 56}{112 \div 56} = -\frac{3}{2} \]
\[ -\frac{3}{2} = -1 \frac{1}{2} \]
Ответ: -1 \frac{1}{2}