Question

Arrange the given rational numbers in descending order:

`5/8, 13/-16  "and" (-7)/12`

Answer 1

`5/8, 13/-16  "and" (-7)/12`

`= 5/8, (-13)/16  "and"  (-7)/12`

`= (5  xx 6)/(8 xx 6), (-13 xx 3)/(16 xx 3)  "and"  (-7 xx 4)/(12 xx 4)`

(∵ LCM of 8, 16 and 12 = 48)

`= 30/48, (-39)/48` and `(-28)/48`

Since, 30 > - 28 > - 39

`therefore 30/48 > (-28)/48 > (-39)/48`

`=> 5/8 > (-7)/12 > (-13)/16`