Fractions 7

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Rearrange the following fractions in ascending order :

2/3, 4/5, 7/15, 11/20, 23/30.

Solution: Given fractions are 2/3, 4/5, 7/15, 11/20, 23/30

L.C.M. of 3, 5, 15, 20, 30 = 3 * 5 * 2 * 2 = 60

So, 2/3 = (2 * 20) / (3 * 20) = 40 / 60

4/5 = (4 * 12) / (5 * 12) = 48 / 60

7/15 = (7 * 4) / (15 * 4) = 28 / 60

11/20 = (11 * 3) / (20 * 3) = 33 / 60

23/30 = (23 * 2) / (30 * 2) = 46 / 60

Since 28 < 33 < 40 < 46 < 48,

so 28 / 60 < 33 / 60 < 40 / 60 < 46 / 60 < 48 / 60.

So, 7/15 < 11/20 < 2/3 < 23/30 < 4/5

Hence, the given fractions in ascending order are : 7/15, 11/20, 2/3, 23/30, 4/5 .

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