$$5\frac{5}{6} \cdot 1\frac{5}{7} + 1\frac{1}{6} \cdot \frac{3}{7} = \frac{35}{6} \cdot \frac{12}{7} + \frac{7}{6} \cdot \frac{3}{7} = \frac{5}{1} \cdot \frac{2}{1} + \frac{1}{2} \cdot \frac{1}{1} = 10 + \frac{1}{2} = 10,5$$
Ответ: $$10,5$$