1. Выполните деление: 1) 1:$$\frac{1}{9}$$; 2) 1:0,7; 3) $$\frac{5}{6}:\frac{6}{7}$$; 4) $$\frac{8}{27}:\frac{32}{45}$$; 5) 4:$$\frac{3}{13}$$; 6) $$\frac{9}{28}:18$$.

Решение:

1. $$1:\frac{1}{9} = 1 \cdot \frac{9}{1} = 9$$

   Ответ: 9

2. $$1:0,7 = 1:\frac{7}{10} = 1 \cdot \frac{10}{7} = \frac{10}{7} = 1\frac{3}{7}$$

   Ответ: $$1\frac{3}{7}$$

3. $$\frac{5}{6}:\frac{6}{7} = \frac{5}{6} \cdot \frac{7}{6} = \frac{5 \cdot 7}{6 \cdot 6} = \frac{35}{36}$$

   Ответ: $$\frac{35}{36}$$

4. $$\frac{8}{27}:\frac{32}{45} = \frac{8}{27} \cdot \frac{45}{32} = \frac{8 \cdot 45}{27 \cdot 32} = \frac{8 \cdot 5 \cdot 9}{3 \cdot 9 \cdot 4 \cdot 8} = \frac{5}{3 \cdot 4} = \frac{5}{12}$$

   Ответ: $$\frac{5}{12}$$

5. $$4:\frac{3}{13} = 4 \cdot \frac{13}{3} = \frac{4 \cdot 13}{3} = \frac{52}{3} = 17\frac{1}{3}$$

   Ответ: $$17\frac{1}{3}$$

6. $$\frac{9}{28}:18 = \frac{9}{28} : \frac{18}{1} = \frac{9}{28} \cdot \frac{1}{18} = \frac{9}{28 \cdot 18} = \frac{9}{28 \cdot 2 \cdot 9} = \frac{1}{28 \cdot 2} = \frac{1}{56}$$

   Ответ: $$\frac{1}{56}$$