Question

Arrange the following rational numbers in
the descending order.
1)2/-3,-4/9,– 5/12, 7/-18
2)3/-4, -5/12,- 7/16, 9/-24​

Answer 1

Answer:

1) LCM = 36

2/-3 = -24/36

-4/9 = -16/36

-5/12 = -15/36

7/-18 = -14/36

descending order = -14/36, -15/36, -16/36, -24/36

2) LCM = 48

3/-4 = -36/48

-5/12 = -20/48

-7/16 = -21/48

9/-24 = -18/48

Descending order = -18/48, -20/48, -21/48, -36/48

Answer 2

Answer:

-3 / 4 , 5 / 12 , - 7 / 16 , 9 / - 24

= > - 3 / 4 , 5 / - 12 x ( -1 ) ( -1 ) , -7 , 16 , 9 , 16 x ( -1 ) ( -1 ) .

= > - 3 / 4 , - 5 / - 12 , -7 / 16 , - 9 / 24 .

= > - 3 / 4 = - 3 x 12 , 4 x 12 = - 36 / 48 .

= > - 5 / 12 = - 5 x 4 , 12 x 4 = - 20 / 48 .

= > - 7 / 16 = - 7 x 3 , 16 x 3 = -21 / 48 .

= > - 9 / 24 = - 9 x 2 , 24 x 2 = - 18 / 48 .

- 36 / 48 < - 21 / 48 < - 20 / 48 < - 18 / 48 .

- 3 / 4 < - 7 / 16 < - 5 / 12 < - 9 / 24 .

Step-by-step explanation: