5) \(\frac{-2\frac{2}{11} \cdot 4,125 + 1,6 \cdot \frac{3}{4}}{9-5\frac{5}{6}\cdot 2\frac{4}{7}}\);

Решение:

1. \( -2\frac{2}{11} \cdot 4,125 = -\frac{24}{11} \cdot \frac{4125}{1000} = -\frac{24}{11} \cdot \frac{33}{8} = -3 \cdot 3 = -9 \)
2. \( 1,6 \cdot \frac{3}{4} = \frac{16}{10} \cdot \frac{3}{4} = \frac{8}{5} \cdot \frac{3}{4} = \frac{2 \cdot 3}{5} = \frac{6}{5} = 1,2 \)
3. \( -9 + 1,2 = -7,8 \)
4. \( 5\frac{5}{6} \cdot 2\frac{4}{7} = \frac{35}{6} \cdot \frac{18}{7} = \frac{5 \cdot 3}{1} = 15 \)
5. \( 9 - 15 = -6 \)
6. \( \frac{-7,8}{-6} = 1,3 \)

Ответ: 1,3.