Решение:
$$(1 - \frac{7}{8} + \frac{7}{10}) : \frac{3}{8} - \frac{2}{5} = (\frac{40}{40} - \frac{35}{40} + \frac{28}{40}) : \frac{3}{8} - \frac{2}{5} = \frac{40 - 35 + 28}{40} : \frac{3}{8} - \frac{2}{5} = \frac{33}{40} : \frac{3}{8} - \frac{2}{5} = \frac{33}{40} \cdot \frac{8}{3} - \frac{2}{5} = \frac{33 \cdot 8}{40 \cdot 3} - \frac{2}{5} = \frac{11 \cdot 3 \cdot 8}{5 \cdot 8 \cdot 3} - \frac{2}{5} = \frac{11}{5} - \frac{2}{5} = \frac{11 - 2}{5} = \frac{9}{5} = 1 \frac{4}{5}$$
Ответ: $$1 \frac{4}{5}$$