Question

Arrange the following rational numbers in ascending order.

`(-7)/(12), (-3)/(10) and (-2)/(5)`

Answer 1

Given number : `(-7)/(12), (-3)/(10) and (-2)/(5)`

The L.C.M. of 12, 10 and 5 is 60.

Thus, numbers are:
`(-7)/(12)`

= `(-7 xx 5)/(12 xx 5)`

= `(-35)/(60)`;

`(-3)/(10)`

= `(-3 xx 6)/(10 xx 6)`

= `(-18)/(60)`;

`(-2)/(5)`

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

= `(-20)/(60)`

Since -35 < -20 < -18, we have `(-7)/(12) < (-2)/(5) < (-3)/(10)`.