Question

Arrange the given rational numbers in descending order:

`3/-10, (-13)/30  "and"  8/-20`

Answer 1

`3/-10, (-13)/30  "and"  8/-20`

`= (-3)/10, (-13)/30  "and"  (- 8)/20`

`= (-3  xx 6)/(10 xx 6), (-13 xx 2)/(30 xx 2)  "and"  (-8 xx 3)/(20 xx 3)`

(∵ LCM of 10, 20 and 30 = 60)

`= (-18)/60, (-26)/60` and `(-24)/60`

Since, - 18 > - 24 > - 26

`therefore (- 18)/60 > (-24)/60 > (-26)/60`

`=> (-3)/10 > (-8)/20 > (-13)/30`