Arrange the following fractions in ascending order: (i) (3/8), (5/6), (6/8), (2/4), (1/3) (ii) (4/6), (3/8), (6/12), (5/16)

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answered Apr 1, 2020 by Tahseen Ahmad (30.6k points)
edited Jun 12, 2024 by faiz

Best answer

(i) Given (3/8), (5/6), (6/8), (2/4), (1/3)

Now we have to arrange these in ascending order, to arrange these in ascending order we have to make those as equivalent fractions by taking LCM’s.

LCM of 8, 6, 4 and 3 is 24

Equivalent fractions are

(9/24), (20/24), (18/24), (12/24), (8/24)

We know that 8 < 9 < 12 < 18 < 20

Now arranging in ascending order

(8/24) < (9/24) < (12/24) < (18/24) < (20/24)

Hence (1/3) < (3/8) < (2/4) < (6/8) < (5/6)

(ii) Given (4/6), (3/8), (6/12), (5/16)

Now we have to arrange these in ascending order, to arrange these in ascending order we have to make those as equivalent fractions by taking LCM’s.

LCM of 6, 8, 12 and 16 is 48

Equivalent fractions are

(32/48), (18/48), (24/48), (15/48)

We know that 15 < 18 < 24 < 32

Now arranging in ascending order

(15/48) < (18/48) < (24/48) < (32/48)

(5/16) < (3/8) < (6/12) < (4/6)