\( \frac{7}{8} \cdot 10 + \frac{1}{8} : 0.1 = \frac{70}{8} + \frac{1}{8} : \frac{1}{10} = \frac{35}{4} + \frac{1}{8} \cdot 10 = \frac{35}{4} + \frac{10}{8} = \frac{35}{4} + \frac{5}{4} = \frac{40}{4} = 10 \)
Ответ: 10.