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Question
Arrange the following rational numbers in descending order.
`(7)/(13),(8)/(15), and (3)/(5)`
Solution
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)`.
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