Question

Arrange the fractions in ascending order

A) 5/8 < 7/12 < 3/4 < 13/16 B) 5/8 < 7/12 < 13/16 < 3/4 C) 5/8 < 3/4 < 13/16 < 7/12 D) 7/12 < 5/8 < 3/4 < 13/16

Answer 1

Given :  fractions

To Find : Arrange the fractions in ascending order

A) 5/8 < 7/12 < 3/4 < 13/16

B) 5/8 < 7/12 < 13/16 < 3/4

C) 5/8 < 3/4 < 13/16 < 7/12

D) 7/12 < 5/8 < 3/4 < 13/16

Solution:

5/8   7/12   3/4      13/16

8 = 2 * 2 * 2

12 = 2 * 2 * 3

4 = 2 * 2

16 = 2 * 2 * 2 * 2

LCM = 2 * 2* 2* 2 * 3  = 48

5/8   = 30/48

7/12  = 28/48

3/4  = 36 / 48

13/16  = 39/48

28 < 30  <  36  < 39

7/12 <   5/8    < 3/4 <  13/16

option  D) 7/12 < 5/8 < 3/4 < 13/16  is correct

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