Arrange the following in ascending order:
(i) 2/7, 3/5, 5/6
(ii) 1/5, 3/7, 7/10, 1/6
(i) 2/7, 3/5, 5/6
LCM of 7, 5, 6 = 210
2/7 = 60/210
3/5 = 126/210
5/6 = 175/210
Since 60 < 126 < 175:
∴ 2/7 < 3/5 < 5/6
(ii) 1/5, 3/7, 7/10, 1/6
LCM of 5, 7, 10, 6 = 210
1/5 = 42/210
3/7 = 90/210
7/10 = 147/210
1/6 = 35/210
Since 35 < 42 < 90 < 147:
∴ 1/6 < 1/5 < 3/7 < 7/10