1. Выполните деление: 1) 1 : 1/6; 2) 1 : 0,9; 3) 3/8 : 8/9; 4) 15/64 : 45/56; 5) 7 : 4/15; 6) 20/29 : 40.

1. \(1 : \frac{1}{6}=1\cdot6=6\).
2. \(1 : 0.9=1 : \frac{9}{10}=\frac{10}{9}=1\frac{1}{9}\).
3. \(\frac{3}{8}:\frac{8}{9}=\frac{3}{8}\cdot\frac{9}{8}=\frac{27}{64}\).
4. \(\frac{15}{64}:\frac{45}{56}=\frac{15}{64}\cdot\frac{56}{45}=\frac{7}{24}\).
5. \(7:\frac{4}{15}=7\cdot\frac{15}{4}=\frac{105}{4}=26\frac{1}{4}\).
6. \(\frac{20}{29}:40=\frac{20}{29}\cdot\frac{1}{40}=\frac{1}{58}\).

Ответ: 1) 6; 2) \(1\frac{1}{9}\); 3) \(\frac{27}{64}\); 4) \(\frac{7}{24}\); 5) \(26\frac{1}{4}\); 6) \(\frac{1}{58}\).