Question

Arrange the following rational numbers in descending order.

`(-7)/(10), (-8)/(15) and (-11)/(30)`

Answer 1

Given numbers : `(-7)/(10), (-8)/(15) and (-11)/(30)`

The L.C.M. of 10, 15 and 30 is 30.

Thus, numbers are :
`(-7)/(10)`

= `(-7 xx 3)/(10 xx 3)`

= `(-21)/(30)`,

`(-8)/(15)`

= `(-8 xx 2)/(15 xx 2)`

= `(-6)/(30)`,

`(-11)/(30)`

Since -11 > -16 > -21, we have `(-11)/(30) > (-8)/(15) > (-7)/(10)`.