1) 4 целых 2/7 = 28/7 + 2/7 = 30/75 целых 4/21 = 105/21 + 4/21 = 109/21НОЗ(7,21) = 2130/7 = (30/7)(3/3) = 90/21109/21 = (109/21)(1/3) = 109/63
2) 1 целая 3/11 = 11/11 + 3/11 = 14/112 целых 1/2 = 2 + 1/2 = 5/2НОЗ(11,2) = 2214/11 = (14/11)(2/2) = 28/225/2 = (5/2)(11/11) = 55/22
3) 1 целая 3/4 = 4/4 + 3/4 = 7/43 целых 5/12 = 36/12 + 5/12 = 41/12НОЗ(4,12) = 127/4 = (7/4)(3/3) = 21/1241/12 = (41/12)(1/3) = 41/36
4) 1 целая 7/20 = 20/20 + 7/20 = 27/202 целых 3/50 = 100/50 + 3/50 = 103/50НОЗ(20,50) = 10027/20 = (27/20)(5/5) = 135/100103/50 = (103/50)(2/2) = 206/100
5) 6 целых 7/100 = 600/100 + 7/100 = 607/1004 целых 9/10 = 400/10 + 9/10 = 409/10НОЗ(100,10) = 100607/100 = (607/100)(1/10) = 607/1000409/10 = (409/10)(100/100) = 4090/1000
1) 4 целых 2/7 = 28/7 + 2/7 = 30/7
5 целых 4/21 = 105/21 + 4/21 = 109/21
НОЗ(7,21) = 21
30/7 = (30/7)(3/3) = 90/21
109/21 = (109/21)(1/3) = 109/63
2) 1 целая 3/11 = 11/11 + 3/11 = 14/11
2 целых 1/2 = 2 + 1/2 = 5/2
НОЗ(11,2) = 22
14/11 = (14/11)(2/2) = 28/22
5/2 = (5/2)(11/11) = 55/22
3) 1 целая 3/4 = 4/4 + 3/4 = 7/4
3 целых 5/12 = 36/12 + 5/12 = 41/12
НОЗ(4,12) = 12
7/4 = (7/4)(3/3) = 21/12
41/12 = (41/12)(1/3) = 41/36
4) 1 целая 7/20 = 20/20 + 7/20 = 27/20
2 целых 3/50 = 100/50 + 3/50 = 103/50
НОЗ(20,50) = 100
27/20 = (27/20)(5/5) = 135/100
103/50 = (103/50)(2/2) = 206/100
5) 6 целых 7/100 = 600/100 + 7/100 = 607/100
4 целых 9/10 = 400/10 + 9/10 = 409/10
НОЗ(100,10) = 100
607/100 = (607/100)(1/10) = 607/1000
409/10 = (409/10)(100/100) = 4090/1000