10. Выполните действия: 1) \(\frac{3}{8}:\frac{2}{3}\); 2) \(\frac{3}{7}:\frac{5}{8}\); 3) \(\frac{4}{7}:\frac{4}{9}\); 4) \(\frac{2}{3}:\frac{2}{7}\); 5) \(\frac{4}{7}:\frac{3}{8}\); 6) \(\frac{3}{4}:\frac{5}{11}\); 7) \(\frac{4}{7}:\frac{5}{9}\); 8) \(\frac{4}{5}:\frac{3}{13}\); 9) \(\frac{5}{9}:\frac{10}{27}\); 10) \(\frac{3}{8}:\frac{9}{16}\); 11) \(\frac{6}{7}:\frac{12}{35}\); 12) \(\frac{4}{9}:\frac{16}{45}\); 13) \(4\frac{4}{9}:2\frac{2}{3}\); 14) \(4\frac{6}{11}:1\frac{3}{22}\); 15) \(6\frac{10}{13}:1\frac{5}{39}\); 16) \(7\frac{11}{12}:3\frac{1}{6}\); 17) \(48:\frac{12}{13}\); 18) \(32:\frac{8}{9}\); 19) \(75:\frac{15}{16}\); 20) \(55:\frac{11}{12}\); 21) \(\frac{12}{13}:6\); 22) \(\frac{18}{19}:6\); 23) \(\frac{15}{16}:5\); 24) \(\frac{14}{15}:7\); 25) \(\frac{2}{5}:0,1\); 26) \(1\frac{1}{4}:0,5\); 27) \(0,9:\frac{3}{4}\); 28) \(3\frac{1}{3}:1,25\); 29) \(3,5:2\frac{1}{3}\); 30) \(0,36:1\frac{13}{15}\); 31) \(4,25:1\frac{1}{2}\); 32) \(\frac{7}{12}:0,75\).

При делении на дробь умножаем на обратную дробь. Десятичные дроби заменяем обыкновенными.

1. \(\frac{3}{8}\cdot\frac{3}{2}=\frac{9}{16}\).
2. \(\frac{3}{7}\cdot\frac{8}{5}=\frac{24}{35}\).
3. \(\frac{4}{7}\cdot\frac{9}{4}=\frac{9}{7}=1\frac{2}{7}\).
4. \(\frac{2}{3}\cdot\frac{7}{2}=\frac{7}{3}=2\frac{1}{3}\).
5. \(\frac{4}{7}\cdot\frac{8}{3}=\frac{32}{21}=1\frac{11}{21}\).
6. \(\frac{3}{4}\cdot\frac{11}{5}=\frac{33}{20}=1\frac{13}{20}\).
7. \(\frac{4}{7}\cdot\frac{9}{5}=\frac{36}{35}=1\frac{1}{35}\).
8. \(\frac{4}{5}\cdot\frac{13}{3}=\frac{52}{15}=3\frac{7}{15}\).
9. \(\frac{5}{9}\cdot\frac{27}{10}=\frac{3}{2}=1\frac{1}{2}\).
10. \(\frac{3}{8}\cdot\frac{16}{9}=\frac{2}{3}\).
11. \(\frac{6}{7}\cdot\frac{35}{12}=\frac{5}{2}=2\frac{1}{2}\).
12. \(\frac{4}{9}\cdot\frac{45}{16}=\frac{5}{4}=1\frac{1}{4}\).
13. \(\frac{40}{9}:\frac{8}{3}=\frac{40}{9}\cdot\frac{3}{8}=\frac{5}{3}=1\frac{2}{3}\).
14. \(\frac{50}{11}:\frac{25}{22}=4\).
15. \(\frac{88}{13}:\frac{44}{39}=6\).
16. \(\frac{95}{12}:\frac{19}{6}=\frac{5}{2}=2\frac{1}{2}\).
17. \(48\cdot\frac{13}{12}=52\).
18. \(32\cdot\frac{9}{8}=36\).
19. \(75\cdot\frac{16}{15}=80\).
20. \(55\cdot\frac{12}{11}=60\).
21. \(\frac{12}{13}:6=\frac{2}{13}\).
22. \(\frac{18}{19}:6=\frac{3}{19}\).
23. \(\frac{15}{16}:5=\frac{3}{16}\).
24. \(\frac{14}{15}:7=\frac{2}{15}\).
25. \(\frac{2}{5}:0,1=\frac{2}{5}:\frac{1}{10}=4\).
26. \(1\frac{1}{4}:0,5=\frac{5}{4}:\frac{1}{2}=\frac{5}{2}=2,5\).
27. \(0,9:\frac{3}{4}=\frac{9}{10}\cdot\frac{4}{3}=1,2\).
28. \(3\frac{1}{3}:1,25=\frac{10}{3}:\frac{5}{4}=\frac{8}{3}=2\frac{2}{3}\).
29. \(3,5:2\frac{1}{3}=\frac{7}{2}:\frac{7}{3}=1,5\).
30. \(0,36:1\frac{13}{15}=\frac{9}{25}:\frac{28}{15}=\frac{27}{140}\).
31. \(4,25:1\frac{1}{2}=\frac{17}{4}:\frac{3}{2}=\frac{17}{6}=2\frac{5}{6}\).
32. \(\frac{7}{12}:0,75=\frac{7}{12}:\frac{3}{4}=\frac{7}{9}\).

Ответ: 1) \(\frac{9}{16}\); 2) \(\frac{24}{35}\); 3) \(1\frac{2}{7}\); 4) \(2\frac{1}{3}\); 5) \(1\frac{11}{21}\); 6) \(1\frac{13}{20}\); 7) \(1\frac{1}{35}\); 8) \(3\frac{7}{15}\); 9) \(1\frac{1}{2}\); 10) \(\frac{2}{3}\); 11) \(2\frac{1}{2}\); 12) \(1\frac{1}{4}\); 13) \(1\frac{2}{3}\); 14) 4; 15) 6; 16) \(2\frac{1}{2}\); 17) 52; 18) 36; 19) 80; 20) 60; 21) \(\frac{2}{13}\); 22) \(\frac{3}{19}\); 23) \(\frac{3}{16}\); 24) \(\frac{2}{15}\); 25) 4; 26) 2,5; 27) 1,2; 28) \(2\frac{2}{3}\); 29) 1,5; 30) \(\frac{27}{140}\); 31) \(2\frac{5}{6}\); 32) \(\frac{7}{9}\).