Question

Arrange the following rational numbers in descending order.

`(7)/(13),(8)/(15), and (3)/(5)`

Answer 1

Given numbers : `(7)/(13),(8)/(15), and (3)/(5)`

The L.C.M. of 13, 15 and 5 is 195.

Thus, numbers are :
`(7)/(13)`

= `(7 xx 15)/(13 xx 15)`

= `(105)/(195)`,

`(8)/(15)`

= `(8 xx 13)/(15 xx 13)`

= `(104)/(195)`;

`(3)/(5)`

= `(3 xx 39)/(5 xx 39)`

= `(117)/(195)`

Since 117 > 105 > 104, we have `(3)/(5) > (7)/(13) > (8)/(15)`.