5113

$$\frac{5}{6} : 1\frac{5}{7} + \frac{1}{6} = \frac{5}{6} : \frac{12}{7} + \frac{1}{6} = \frac{5}{6} \cdot \frac{7}{12} + \frac{1}{6} = \frac{35}{72} + \frac{1}{6} = \frac{35 + 12}{72} = \frac{47}{72}$$

Ответ: $$\frac{47}{72}$$