Пошаговое объяснение:
№1
1) 36 : 2. 2/5 = 36 : 12/5 = 36 * 5/12 = 3 * 5/1 = 15/1 = 15
2) 11. 2/3 : 2. 16/27 = 35/3 : 70/27 = 35/3 * 27/70 = 1/1 * 9/2 = 9/2 = 4. 1/2
3) 15 + 4. 1/2 = 19. 1/2
4) 19. 1/2 : 9. 3/4 = 39/2 * 39/4 = 39/2 * 4/39 = 1/1 * 2/1 = 2/1 = 2
№2
1) 2. 3/7 : 2. 1/25 = 17/7 : 51/25 = 17/7 * 25/51 = 1/7 * 25/3 = 25/21 = 1. 4/21
2) 3. 1/14 : 6. 1/7 = 43/14 : 43/7 = 43/14 * 7/43 = 1/2 * 1/1 = 1/2
3) 1. 4/21 + 1/2 = 1. 8/42 + 21/42 = 1. 29/42
4) 1. 29/42 : 2. 4/9 = 71/42 : 22/9 = 71/42 * 9/22 = 71/14 * 3/22 = 213/308
№3
1) 8. 1/9 : 5. 11/27 = 73/9 : 146/27 = 73/9 * 27/146 = 1/1 * 3/2 = 3/2 = 1. 1/2
2) 7. 1/3 : 1. 2/9 = 22/3 : 11/9 = 22/3 * 9/11 = 2/1 * 3/1 = 6/1 = 6
3) 1. 1/2 + 6 = 7. 1/2
4) 7. 1/2 : 1. 1/2 = 15/2 : 3/2 = 15/2 * 2/3 = 5/1 * 1/1 = 5/1 = 5
№4
1) 49/51 : 3. 8/9 = 49/51 : 35/9 = 49/51 * 9/35 = 7/17 * 3/5 = 21/85
2) 21/85 * 17/21 = 1/5 * 1/1 = 1/5
3) 3. 1/3 : 16. 2/3 = 10/3 : 50/3 = 10/3 * 3/50 = 1/1 * 1/5 = 1/5
4) 1/5 - 1/5 = 0
5) 0 + 2. 1/3 = 2. 1/3
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Answers & Comments
Пошаговое объяснение:
№1
1) 36 : 2. 2/5 = 36 : 12/5 = 36 * 5/12 = 3 * 5/1 = 15/1 = 15
2) 11. 2/3 : 2. 16/27 = 35/3 : 70/27 = 35/3 * 27/70 = 1/1 * 9/2 = 9/2 = 4. 1/2
3) 15 + 4. 1/2 = 19. 1/2
4) 19. 1/2 : 9. 3/4 = 39/2 * 39/4 = 39/2 * 4/39 = 1/1 * 2/1 = 2/1 = 2
№2
1) 2. 3/7 : 2. 1/25 = 17/7 : 51/25 = 17/7 * 25/51 = 1/7 * 25/3 = 25/21 = 1. 4/21
2) 3. 1/14 : 6. 1/7 = 43/14 : 43/7 = 43/14 * 7/43 = 1/2 * 1/1 = 1/2
3) 1. 4/21 + 1/2 = 1. 8/42 + 21/42 = 1. 29/42
4) 1. 29/42 : 2. 4/9 = 71/42 : 22/9 = 71/42 * 9/22 = 71/14 * 3/22 = 213/308
№3
1) 8. 1/9 : 5. 11/27 = 73/9 : 146/27 = 73/9 * 27/146 = 1/1 * 3/2 = 3/2 = 1. 1/2
2) 7. 1/3 : 1. 2/9 = 22/3 : 11/9 = 22/3 * 9/11 = 2/1 * 3/1 = 6/1 = 6
3) 1. 1/2 + 6 = 7. 1/2
4) 7. 1/2 : 1. 1/2 = 15/2 : 3/2 = 15/2 * 2/3 = 5/1 * 1/1 = 5/1 = 5
№4
1) 49/51 : 3. 8/9 = 49/51 : 35/9 = 49/51 * 9/35 = 7/17 * 3/5 = 21/85
2) 21/85 * 17/21 = 1/5 * 1/1 = 1/5
3) 3. 1/3 : 16. 2/3 = 10/3 : 50/3 = 10/3 * 3/50 = 1/1 * 1/5 = 1/5
4) 1/5 - 1/5 = 0
5) 0 + 2. 1/3 = 2. 1/3