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Question
Arrange the following rational numbers in descending order.
`(4)/(3), (-14)/(5) and (17)/(15)`
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Solution
Given numbers : `(4)/(3), (-14)/(5) and (17)/(15)`
The L.C.M. of 3 and 5 is 15.
Thus, numbers are :
`(4)/(3)`
= `(4 xx 3)/(3 xx 5)`
= `(20)/(15)`,
`(-14)/(5)`
= `(-14 xx 3)/(5 xx 3)`
= `(-42)/(15)`,
`(17)/(15)`
Since 20 > 17 > -42, we have `(4)/(3) > (17)/(5) > (-14)/(5)`.
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