1) $$6 : \frac{7}{9};$$ 2) $$16 : \frac{4}{11};$$ 3) $$13 : \frac{26}{29};$$ 4) $$\frac{7}{9} : 5;$$ 5) $$\frac{9}{16} : 6;$$ 6) $$1\frac{5}{9} : 1\frac{8}{27};$$ 7) $$2\frac{10}{13} : 3\frac{3}{26};$$ 8) $$2\frac{4}{7} : 1\frac{1}{35}.$$

Решим примеры на деление дробей.

1. $$6 : \frac{7}{9} = \frac{6}{1} : \frac{7}{9} = \frac{6}{1} \cdot \frac{9}{7} = \frac{6 \cdot 9}{1 \cdot 7} = \frac{54}{7} = 7\frac{5}{7}$$
2. $$16 : \frac{4}{11} = \frac{16}{1} : \frac{4}{11} = \frac{16}{1} \cdot \frac{11}{4} = \frac{16 \cdot 11}{1 \cdot 4} = \frac{176}{4} = 44$$
3. $$13 : \frac{26}{29} = \frac{13}{1} : \frac{26}{29} = \frac{13}{1} \cdot \frac{29}{26} = \frac{13 \cdot 29}{1 \cdot 26} = \frac{377}{26} = \frac{29}{2} = 14\frac{1}{2}$$
4. $$\frac{7}{9} : 5 = \frac{7}{9} : \frac{5}{1} = \frac{7}{9} \cdot \frac{1}{5} = \frac{7 \cdot 1}{9 \cdot 5} = \frac{7}{45}$$
5. $$\frac{9}{16} : 6 = \frac{9}{16} : \frac{6}{1} = \frac{9}{16} \cdot \frac{1}{6} = \frac{9 \cdot 1}{16 \cdot 6} = \frac{9}{96} = \frac{3}{32}$$
6. $$1\frac{5}{9} : 1\frac{8}{27} = \frac{1 \cdot 9 + 5}{9} : \frac{1 \cdot 27 + 8}{27} = \frac{14}{9} : \frac{35}{27} = \frac{14}{9} \cdot \frac{27}{35} = \frac{14 \cdot 27}{9 \cdot 35} = \frac{378}{315} = \frac{6}{5} = 1\frac{1}{5}$$
7. $$2\frac{10}{13} : 3\frac{3}{26} = \frac{2 \cdot 13 + 10}{13} : \frac{3 \cdot 26 + 3}{26} = \frac{36}{13} : \frac{81}{26} = \frac{36}{13} \cdot \frac{26}{81} = \frac{36 \cdot 26}{13 \cdot 81} = \frac{936}{1053} = \frac{8}{9}$$
8. $$2\frac{4}{7} : 1\frac{1}{35} = \frac{2 \cdot 7 + 4}{7} : \frac{1 \cdot 35 + 1}{35} = \frac{18}{7} : \frac{36}{35} = \frac{18}{7} \cdot \frac{35}{36} = \frac{18 \cdot 35}{7 \cdot 36} = \frac{630}{252} = \frac{5}{2} = 2\frac{1}{2}$$

Ответ: 1) $$7\frac{5}{7}$$; 2) $$44$$; 3) $$14\frac{1}{2}$$; 4) $$\frac{7}{45}$$; 5) $$\frac{3}{32}$$; 6) $$1\frac{1}{5}$$; 7) $$\frac{8}{9}$$; 8) $$2\frac{1}{2}$$.