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Question
Arrange the following rational numbers in ascending order.
`(7)/(4), (-6)/(5) and (-5)/(2)`
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Solution
Given number : `(7)/(4), (-6)/(5) and (-5)/(2)`
The L.C.M. of 4, 5 and 2 is 20.
Thus, numbers are :
`(7)/(4)`
= `(7 xx 5)/(4 xx 5)`
= `(35)/(20)`;
`(-6)/(5)`
= `(-6 xx 4)/(5 xx 4)`
= `(-36)/(20)`
and `(-5)/(2)`
= `(-5 xx 10)/(2 xx 10)`
= `(-50)/(20)`
Since -50 < -36 <35, we have `(-5)/(2) < (-6)/(5) < (7)/(4)`.
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