Arrange 5 : 6, 8 : 9, 13 : 18 and 7 : 12 in ascending order of magnitude.
Answers:
The given ratios are 5 : 6, 8 : 9, 13 : 18 and 7 : 12.
Now L.C.M., of 6, 9, 18 and 12 = 36
Now 5/6 = 5 × 6/6 × 6 = 30/36
8/9 = 8 × 4/9 × 4 = 32/36
13/18 = 13 × 2/18 × 2 = 26/36
Also 7/12 = 7 × 3/12 × 3 = 21/36
Here 21/36 < 26/36 < 30/36 < 32/36
Hence 7/12 < 13/18 < 5/6 < 8/9
i.e., Ascending order
7 : 12 < 13 : 18 < 5 : 6 < 8 : 9