Выполните деление: а) 1 : 1/7; 5 : 5/8; 4 : 8/9; 120 : 1/10; в) 12 : 5/8; 1/3 : 3; 5/7 : 10; 10/11 : 5; б) 3/7 : 9/14; 3/10 : 8/11; 7/12 : 5/6; 7/8 : 3/4; г) 1/200 : 200; 9/16 : 6; 84/121 : 63/110.

Деление на дробь заменяем умножением на обратную дробь:

1. \(1 : \frac{1}{7}=1\cdot7=7\);
2. \(5 : \frac{5}{8}=5\cdot\frac{8}{5}=8\);
3. \(4 : \frac{8}{9}=4\cdot\frac{9}{8}=\frac{9}{2}=4\frac{1}{2}\);
4. \(120 : \frac{1}{10}=120\cdot10=1200\);
5. \(12 : \frac{5}{8}=12\cdot\frac{8}{5}=\frac{96}{5}=19\frac{1}{5}\);
6. \(\frac{1}{3}:3=\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{9}\);
7. \(\frac{5}{7}:10=\frac{5}{7}\cdot\frac{1}{10}=\frac{1}{14}\);
8. \(\frac{10}{11}:5=\frac{10}{11}\cdot\frac{1}{5}=\frac{2}{11}\);
9. \(\frac{3}{7}:\frac{9}{14}=\frac{3}{7}\cdot\frac{14}{9}=\frac{2}{3}\);
10. \(\frac{3}{10}:\frac{8}{11}=\frac{3}{10}\cdot\frac{11}{8}=\frac{33}{80}\);
11. \(\frac{7}{12}:\frac{5}{6}=\frac{7}{12}\cdot\frac{6}{5}=\frac{7}{10}\);
12. \(\frac{7}{8}:\frac{3}{4}=\frac{7}{8}\cdot\frac{4}{3}=\frac{7}{6}=1\frac{1}{6}\);
13. \(\frac{1}{200}:200=\frac{1}{200}\cdot\frac{1}{200}=\frac{1}{40000}\);
14. \(\frac{9}{16}:6=\frac{9}{16}\cdot\frac{1}{6}=\frac{3}{32}\);
15. \(\frac{84}{121}:\frac{63}{110}=\frac{84}{121}\cdot\frac{110}{63}=\frac{40}{33}=1\frac{7}{33}\).

Ответ: 7; 8; \(4\frac{1}{2}\); 1200; \(19\frac{1}{5}\); \(\frac{1}{9}\); \(\frac{1}{14}\); \(\frac{2}{11}\); \(\frac{2}{3}\); \(\frac{33}{80}\); \(\frac{7}{10}\); \(1\frac{1}{6}\); \(\frac{1}{40000}\); \(\frac{3}{32}\); \(1\frac{7}{33}\).