Решение:

а) $$1\frac{7}{9}:2\frac{2}{3} = \frac{16}{9}:\frac{8}{3} = \frac{16}{9} \cdot \frac{3}{8} = \frac{16 \cdot 3}{9 \cdot 8} = \frac{2 \cdot 1}{3 \cdot 1} = \frac{2}{3}$$

б) $$3\frac{3}{5}:2\frac{1}{10} = \frac{18}{5}:\frac{21}{10} = \frac{18}{5} \cdot \frac{10}{21} = \frac{18 \cdot 10}{5 \cdot 21} = \frac{6 \cdot 2}{1 \cdot 7} = \frac{12}{7} = 1\frac{5}{7}$$

в) $$3\frac{3}{8}:\frac{1}{8}-1\frac{5}{14} \cdot 7 = \frac{27}{8}:\frac{1}{8} - \frac{19}{14} \cdot 7 = \frac{27}{8} \cdot \frac{8}{1} - \frac{19 \cdot 7}{14} = 27 - \frac{19}{2} = 27 - 9\frac{1}{2} = 17\frac{1}{2}$$

Ответ:

а) $$\frac{2}{3}$$

б) $$1\frac{5}{7}$$

в) $$17\frac{1}{2}$$