Question

Arrange the fractions `2/3, 3/4, 1/2` and `5/6` in ascending order.

Answer 1

In order to arrange the given fractions in ascending order, we have to convert them into like fractions.

So, LCM of the denominators, i.e. 3, 4, 2 and 6 = 2 × 2 × 3 = 12.

Now, we convert the given fractions to equivalent fractions with denominator 12.

2	3, 4, 2, 6
2	3, 2, 1, 3
3	3, 1, 1, 3
	1, 1, 1, 1

`(2 xx 4)/(3 xx 4) = 8/12, (3 xx 3)/(4 xx 3) = 9/12`

`(1 xx 6)/(2 xx 6) = 6/12, (5 xx 2)/(6 xx 2) = 10/12`

Clearly, `6/12 < 8/12 < 9/102 < 10/12`  ...[In like fraction, the fraction whose numerator is smaller will be smaller]

∴ `1/2 < 2/3 < 3/4 < 5/6`