34. Вычислите: а) \(\frac{6}{7}:7\); \(\frac{6}{7}:6\); \(\frac{6}{13}:3\); \(\frac{8}{5}:12\); \(\frac{6}{7}:9\); \(\frac{6}{11}:4\); б) \(\frac{1}{40}:30\); \(1\frac{1}{49}:50\); \(1\frac{13}{17}:3\); \(15\frac{35}{39}:5\); \(8\frac{6}{7}:2\); \(12\frac{6}{7}:6\).

При делении на натуральное число умножаем знаменатель дроби на это число. Смешанные числа переводим в неправильные дроби.

1. \(\frac{6}{7}:7=\frac{6}{49}\).
2. \(\frac{6}{7}:6=\frac{1}{7}\).
3. \(\frac{6}{13}:3=\frac{2}{13}\).
4. \(\frac{8}{5}:12=\frac{8}{60}=\frac{2}{15}\).
5. \(\frac{6}{7}:9=\frac{6}{63}=\frac{2}{21}\).
6. \(\frac{6}{11}:4=\frac{6}{44}=\frac{3}{22}\).
7. \(\frac{1}{40}:30=\frac{1}{1200}\).
8. \(1\frac{1}{49}:50=\frac{50}{49}:50=\frac{1}{49}\).
9. \(1\frac{13}{17}:3=\frac{30}{17}:3=\frac{10}{17}\).
10. \(15\frac{35}{39}:5=\frac{620}{39}:5=\frac{124}{39}=3\frac{7}{39}\).
11. \(8\frac{6}{7}:2=\frac{62}{7}:2=\frac{31}{7}=4\frac{3}{7}\).
12. \(12\frac{6}{7}:6=\frac{90}{7}:6=\frac{15}{7}=2\frac{1}{7}\).