Question

Arrange the given rational numbers in ascending order:

`4/-9, (-5)/12  "and" 2/-3 ` 

Answer 1

`4/-9, (-5)/12  "and"  2/-3 ` 

`= (-4)/9, (-5)/12  "and"  (-2)/3 ` `

`= (-4 xx 4)/(9 xx 4), (-5 xx 3)/(12 xx 3)  "and"  (-2 xx 12)/(3 xx 12)`

(∵ LCM of 9, 12 and 3 = 36)

`= (-16)/36 , (-15)/36, (-24)/36`

Since, -24 < -16 < -15

`therefore (-24)/36 < (-16)/36 < (-15)/36`

`=> 2/-3  < (4)/-9 < (- 5)/12`