Question

Arrange the given rational numbers in ascending order:

`7/10 , (-11)/-30  "and"  5/-15` 

Answer 1

`7/10 , (-11)/-30  "and"  5/-15`

`= 7/10 , 11/30  "an d"  (-5)/15`

`= (7 xx 3)/(10 xx 3), 11/30  "and"  (-5 xx 2)/(15 xx 2)`

(∵ LCM of 10, 30 and 15 = 30)

`= 21/30 , 11/30, (-10)/30`

Since, - 10 < 11 < 21

`therefore (-10)/30 < 11/30 < 21/30`

`=> 5/-15  < (-11)/-30 < 7/10`