Question

Arrange 2/15, 18/29, 7/18, 10/87 in ascending order:

Answer 1

2/5,7/10,8/15, 13/30

LCM of 5,10,15,30= 180
2/5*36/36= 72/180
7/10* 18/18= 126/180
8/15* 12/12= 96/180
13/30= 6/6= 78/180

72/180; 126/180 ; 96/180; 78/180
ascending order:- 72/180;78/180;96/180;126/180 or
2/5; 13/30; 8/15; 7/10

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Answer 2

Given:

2/15, 18/29, 7/18, 10/87

To find:

The numbers in ascending order

Solution:

The terms in the required order are 10/87, 2/15, 7/18, 18/29.

To arrange the terms from lowest to greatest, we will have to convert them into like terms.

So, we will find the LCM of the numbers' denominators.

The common and smallest multiple of 15, 29, 18, and 87=2×3×3×5×29

=2610

The terms will change as follows-

2×174/15×174=348/2610

18×90/29×90=1620/2610

7×145/18×145=1015/2610

10×30/87×30=300/2610

We will now compare the numerators of these numbers and arrange them accordingly.

The arrangement becomes: 300/2610, 348/2610, 1015/2610, 1620/2610

= 10/87, 2/15, 7/18, 18/29

Therefore, the terms in the required order are 10/87, 2/15, 7/18, 18/29.