Question

Arrange the following rational numbers in ascending order.

`(7)/(4), (-6)/(5) and (-5)/(2)`

Answer 1

Given number : `(7)/(4), (-6)/(5) and (-5)/(2)`

The L.C.M. of 4, 5 and 2 is 20.

Thus, numbers are :
`(7)/(4)`

= `(7 xx 5)/(4 xx 5)`

= `(35)/(20)`;

`(-6)/(5)`

= `(-6 xx 4)/(5 xx 4)`

= `(-36)/(20)`

and `(-5)/(2)`

= `(-5 xx 10)/(2 xx 10)`

= `(-50)/(20)`

Since -50 < -36 <35, we have `(-5)/(2) < (-6)/(5) < (7)/(4)`.