1) 1/10 = 3/30, 1/15 = 2/303/30 + 2/30 = 5/30 = 1/6
2) 1/10 = 3/30, 1/25 = 2/503/30 + 2/50 = 5/30 + 3/150 = 25/150 + 3/150 = 28/150 = 14/75
3) 1/30 = 1/30, 1/40 = 2/801/30 + 2/80 = 8/240 + 6/240 = 14/240 = 7/120
4) 1/30 = 1/30, 1/50 = 3/1501/30 + 3/150 = 5/150 + 1/150 = 6/150 = 1/25
5) 1/70 = 1/70, 1/60 = 7/4201/70 + 7/420 = 6/420 + 7/420 = 13/420
6) 1/50 = 3/150, 1/80 = 1/803/150 + 1/80 = 8/400 + 5/400 = 13/400
7) 1/60 = 1/60, 1/15 = 4/601/60 + 4/60 = 5/60 = 1/12
8) 1/24 = 5/120, 1/120 = 1/1205/120 + 1/120 = 6/120 = 1/20
Итак, суммы дробей равны:1) 1/62) 14/753) 7/1204) 1/255) 13/4206) 13/4007) 1/128) 1/20
1) 1/10 = 3/30, 1/15 = 2/30
3/30 + 2/30 = 5/30 = 1/6
2) 1/10 = 3/30, 1/25 = 2/50
3/30 + 2/50 = 5/30 + 3/150 = 25/150 + 3/150 = 28/150 = 14/75
3) 1/30 = 1/30, 1/40 = 2/80
1/30 + 2/80 = 8/240 + 6/240 = 14/240 = 7/120
4) 1/30 = 1/30, 1/50 = 3/150
1/30 + 3/150 = 5/150 + 1/150 = 6/150 = 1/25
5) 1/70 = 1/70, 1/60 = 7/420
1/70 + 7/420 = 6/420 + 7/420 = 13/420
6) 1/50 = 3/150, 1/80 = 1/80
3/150 + 1/80 = 8/400 + 5/400 = 13/400
7) 1/60 = 1/60, 1/15 = 4/60
1/60 + 4/60 = 5/60 = 1/12
8) 1/24 = 5/120, 1/120 = 1/120
5/120 + 1/120 = 6/120 = 1/20
Итак, суммы дробей равны:
1) 1/6
2) 14/75
3) 7/120
4) 1/25
5) 13/420
6) 13/400
7) 1/12
8) 1/20