1)1/6+3/6=2/3
1/6+3/6=(1+3)/6=4/6=2/3
2)3/7+2/7=5/7
3/7 + 2/7 = (3 + 2)/7 = 5/7
3)1/4+3/8=5/8
НОК(4,8) = 8
8:4 = 2 8:8 = 1
(1 × 2 + 3 × 1)/8 = (2 + 3)/8 = 5/8
5/8 = 0.625
4)5/12+7/15=53/60
НОК(12,15) = 60
60:12 = 5 60:15 = 4
(5 × 5 + 7 × 4)/60 = (25 + 28)/60 = 53/60
53/60 = 0.8833333333
5)4Цел5/6+2Цел3/8=7 5/24
4 5/6 + 2 3/8 = 29/6 + 19/8
НОК(6,8) = 24
24:6 = 4 24:8 = 3
(29 × 4 + 19 × 3)/24 = (116 + 57)/24 = 173/24 = 7 5/24
7 5/24 = 7.2083333333
6)3Цел+2Цел1/3=5 1/3
3 + 2 1/3 = 3 + 7/3,
НОК(1,3) = 3(3 × 3 + 7 × 1)/3 = (9 + 7)/3 = 16/3 = 5 1/3
5 1/3 = 5.3333333333