Пошаговое объяснение:
1.
1) 35. 5/6 : 6. 7/18 = 215/6 : 115/18 = 215/6 * 18/115 = 43/1 * 3/23 = 129/23
2) 129/23 * 5. 3/4 = 129/23 * 23/4 = 129/4 = 32. 1/4
3) 32. 1/4 - 8. 5/12 = 32. 3/12 - 8. 5/12 =
31. 15/12 - 8. 5/12 = 23. 10/12 = 23. 5/6
4) 23. 5/6 : 1. 6/15 = 143/6 : 21/15 = 143/6 * 15/21 = 143/2 * 5/21 = 715/42 = 17. 1/42
ответ: 17. 1/42
2.
1) 15. 2/5 * 1/4 = 77/5 * 1/4 = 77/20 = 3. 17/20
2) 6. 7/20 - 3. 17/20 = 5. 27/20 - 3. 17/20 = 2. 10/20 = 2. 1/2
3) 2. 1/2 * 1. 1/10 = 5/2 * 11/10 = 1/2 * 11/2 = 11/4 = 2. 3/4
4) 2. 3/4 + 7/20 = 2. 15/20 + 7/20 = 2. 22/20 = 3. 2/20 = 3. 1/10
ответ: 3. 1/10
3.
1) 5/9 * 2. 4/7 = 5/9 * 18/7 = 5/1 * 2/7 = 10/7 = 1. 3/7
2) 4. 2/3 - 1. 3/7 = 4. 14/21 - 1. 9/21 = 3. 5/21
3) 2. 1/7 + 1. 2/3 = 2. 3/21 + 1. 14/21 =
3. 17/21
4) 3. 5/21 + 3. 17/21 = 6. 22/21 = 7. 1/21
ответ: 7. 1/21
4.
1) 15. 1/3 - 8. 5/18 = 15. 6/18 - 8. 5/18 =
7. 1/18
2) 7. 1/18 * 2. 4/7 = 127/18 * 18/7 = 127/7
3) 127/7 : 6. 1/21 = 127/7 : 127/21 = 127/7 * 21/127 = 21/7 = 3
4) 3 - 2. 5/8 = 2. 8/8 - 2. 5/8 = 3/8
ответ: 3/8
Пошаговое объяснение:
а) (35 5/6 : 6 7/18 * 5 3/4- 8 5/12) : 1 6/15 = 17 1/42
1) 35 5/6 : 6 7/18= 215/6 : 115/18= 215/6 * 18/115= 129/23
2) 129/23 * 5 3/4= 129/23 * 23/4= 129/4
3) 129/4 - 8 5/12= 129/4 - 101/12= 387/12 - 101/12= 286/12
4) 286/12 : 1 6/15= 286/12 : 21/15= 286/12 * 15/21= 17 1/42
б) (6 7/20 - 15 2/5 *1/4)* 1 1/10+7/20= 3 1/10
1) 15 2/5* 1/4= 77/5 * 1/4=77/20
2) 6 7/20- 77/20= 127/20 - 77/20 =50/20= 5/2
3) 5/2 * 1 1/10= 5/2 * 11/10= 11/4
4) 11/4 + 7/20= 55/20 + 7/20= 62/20= 31/10= 3 1/10
в) (4 2/3 - 5/9 * 2 4/7)+(2 1/7+1 2/3)= 7 1/21
1) 5/9 * 2 4/7= 5/9 * 18/7=10/7
2) 4 2/3 - 10/7= 14/3 - 10/7= 98/21- 30/21= 68/21
3) 2 1/7 + 1 2/3= 15/7 + 5/3= 45/21+ 35/21= 80/21
4) 68/21 + 80/21= 148/21= 7 1/21
г) (15 1/3 -8 5/18)* 2 4/7 : 6 1/21 - 2 5/8= 3/8
1) 15 1/3 - 8 5/18 = 46/3 - 149/18= 276/18- 149/18= 127/18
2) 127/18 * 2 4/7= 127/18 * 18/7= 127/7
3) 127/7 : 6 1/21= 127/7 : 127/21= 127/7 * 21/127= 3
4) 3 - 2 5/8= 3/8