1. 2/3 = 4/6 2. 5/4 = ?/? 3. 1/2 = 3/6 4. 7/3 = ?/? 5. 4/6 = ?/? 6. 5/5 = 1 7. 1/7 = ?/? 8. 8/9 = ?/? 9. 2/6 = ?/? 10. 3/7 = ?/? 11. 5/4 = ?/? 12. 7/7 = 1 13. 11/7 = ?/? 14. 14/22 = 7/11 15. 4/5 = ?/? 16. 15/8 = ?/? 17. 11/7 = ?/? 18. 14/21 = 2/3 19. 25/50 = 1/2 20. 18/27 = 2/3 21. 15/8 = ?/? 22. 20/40 = 1/2 23. 63/81 = 7/9 24. 2/24 = 1/12 25. 33/34 = ?/? 26. 10/6 = 5/3 27. 17/11 = ?/? 28. 33/30 = 11/10 29. 5/21 = ?/? 30. 9/30 = 3/10 31. 7/15 = ?/? 32. 24/30 = 4/5 33. 5/10 = 1/2 34. 28/3 = ?/? 35. 6/3 = 2 36. 20/3 = ?/? 37. 7/9 = ?/? 38. 10/2 = 5 39. 15/10 = 3/2 40. 20/34 = 10/17 41. 50/5 = 10 42. 17/10 = ?/? 43. 40/20 = 2 44. 20/5 = 4 45. 18/2 = 9 46. 63/28 = 9/4 47. 77/11 = 7 48. 11/65 = ?/? 49. 2/18 = 1/9 50. 20/200 = 1/10 51. 150/2 = 75 52. 34/2 = 17 53. 5/4 = ?/? 54. 7/3 = ?/? 55. 42/7 = 6 56. 90/3 = 30 57. 12/21 = 4/7 58. 60/12 = 5 Solve the following arithmetic problems:

Решение:

Выполним деление и сокращение дробей.

1. \( \frac{2}{3} = \frac{4}{6} \)
2. \( \frac{5}{4} = \frac{5 \cdot 2}{4 \cdot 2} = \frac{10}{8} \)
3. \( \frac{1}{2} = \frac{3}{6} \)
4. \( \frac{7}{3} = \frac{7 \cdot 2}{3 \cdot 2} = \frac{14}{6} \)
5. \( \frac{4}{6} = \frac{2}{3} \)
6. \( \frac{5}{5} = 1 \)
7. \( \frac{1}{7} = \frac{1 \cdot 5}{7 \cdot 5} = \frac{5}{35} \)
8. \( \frac{8}{9} = \frac{8 \cdot 10}{9 \cdot 10} = \frac{80}{90} \)
9. \( \frac{2}{6} = \frac{1}{3} \)
10. \( \frac{3}{7} = \frac{3 \cdot 7}{7 \cdot 7} = \frac{21}{49} \)
11. \( \frac{5}{4} = \frac{5 \cdot 3}{4 \cdot 3} = \frac{15}{12} \)
12. \( \frac{7}{7} = 1 \)
13. \( \frac{11}{7} = \frac{11 \cdot 2}{7 \cdot 2} = \frac{22}{14} \)
14. \( \frac{14}{22} = \frac{7}{11} \)
15. \( \frac{4}{5} = \frac{4 \cdot 10}{5 \cdot 10} = \frac{40}{50} \)
16. \( \frac{15}{8} = \frac{15 \cdot 10}{8 \cdot 10} = \frac{150}{80} \)
17. \( \frac{11}{7} = \frac{11 \cdot 10}{7 \cdot 10} = \frac{110}{70} \)
18. \( \frac{14}{21} = \frac{2}{3} \)
19. \( \frac{25}{50} = \frac{1}{2} \)
20. \( \frac{18}{27} = \frac{2}{3} \)
21. \( \frac{15}{8} = \frac{15 \cdot 10}{8 \cdot 10} = \frac{150}{80} \)
22. \( \frac{20}{40} = \frac{1}{2} \)
23. \( \frac{63}{81} = \frac{7}{9} \)
24. \( \frac{2}{24} = \frac{1}{12} \)
25. \( \frac{33}{34} = \frac{33 \cdot 1}{34 \cdot 1} = \frac{33}{34} \)
26. \( \frac{10}{6} = \frac{5}{3} \)
27. \( \frac{17}{11} = \frac{17 \cdot 10}{11 \cdot 10} = \frac{170}{110} \)
28. \( \frac{33}{30} = \frac{11}{10} \)
29. \( \frac{5}{21} = \frac{5 \cdot 10}{21 \cdot 10} = \frac{50}{210} \)
30. \( \frac{9}{30} = \frac{3}{10} \)
31. \( \frac{7}{15} = \frac{7 \cdot 2}{15 \cdot 2} = \frac{14}{30} \)
32. \( \frac{24}{30} = \frac{4}{5} \)
33. \( \frac{5}{10} = \frac{1}{2} \)
34. \( \frac{28}{3} = \frac{28 \cdot 10}{3 \cdot 10} = \frac{280}{30} \)
35. \( \frac{6}{3} = 2 \)
36. \( \frac{20}{3} = \frac{20 \cdot 10}{3 \cdot 10} = \frac{200}{30} \)
37. \( \frac{7}{9} = \frac{7 \cdot 10}{9 \cdot 10} = \frac{70}{90} \)
38. \( \frac{10}{2} = 5 \)
39. \( \frac{15}{10} = \frac{3}{2} \)
40. \( \frac{20}{34} = \frac{10}{17} \)
41. \( \frac{50}{5} = 10 \)
42. \( \frac{17}{10} = \frac{17 \cdot 2}{10 \cdot 2} = \frac{34}{20} \)
43. \( \frac{40}{20} = 2 \)
44. \( \frac{20}{5} = 4 \)
45. \( \frac{18}{2} = 9 \)
46. \( \frac{63}{28} = \frac{9}{4} \)
47. \( \frac{77}{11} = 7 \)
48. \( \frac{11}{65} = \frac{11 \cdot 2}{65 \cdot 2} = \frac{22}{130} \)
49. \( \frac{2}{18} = \frac{1}{9} \)
50. \( \frac{20}{200} = \frac{1}{10} \)
51. \( \frac{150}{2} = 75 \)
52. \( \frac{34}{2} = 17 \)
53. \( \frac{5}{4} = \frac{5 \cdot 3}{4 \cdot 3} = \frac{15}{12} \)
54. \( \frac{7}{3} = \frac{7 \cdot 2}{3 \cdot 2} = \frac{14}{6} \)
55. \( \frac{42}{7} = 6 \)
56. \( \frac{90}{3} = 30 \)
57. \( \frac{12}{21} = \frac{4}{7} \)
58. \( \frac{60}{12} = 5 \)

Ответ: 1. 4/6; 2. 10/8; 3. 3/6; 4. 14/6; 5. 2/3; 6. 1; 7. 5/35; 8. 80/90; 9. 1/3; 10. 21/49; 11. 15/12; 12. 1; 13. 22/14; 14. 7/11; 15. 40/50; 16. 150/80; 17. 110/70; 18. 2/3; 19. 1/2; 20. 2/3; 21. 150/80; 22. 1/2; 23. 7/9; 24. 1/12; 25. 33/34; 26. 5/3; 27. 170/110; 28. 11/10; 29. 50/210; 30. 3/10; 31. 14/30; 32. 4/5; 33. 1/2; 34. 280/30; 35. 2; 36. 200/30; 37. 70/90; 38. 5; 39. 3/2; 40. 10/17; 41. 10; 42. 34/20; 43. 2; 44. 4; 45. 9; 46. 9/4; 47. 7; 48. 22/130; 49. 1/9; 50. 1/10; 51. 75; 52. 17; 53. 15/12; 54. 14/6; 55. 6; 56. 30; 57. 4/7; 58. 5.