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Question
Arrange the given rational numbers in descending order:
`3/-10, (-13)/30 "and" 8/-20`
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Solution
`3/-10, (-13)/30 "and" 8/-20`
`= (-3)/10, (-13)/30 "and" (- 8)/20`
`= (-3 xx 6)/(10 xx 6), (-13 xx 2)/(30 xx 2) "and" (-8 xx 3)/(20 xx 3)`
(∵ LCM of 10, 20 and 30 = 60)
`= (-18)/60, (-26)/60` and `(-24)/60`
Since, - 18 > - 24 > - 26
`therefore (- 18)/60 > (-24)/60 > (-26)/60`
`=> (-3)/10 > (-8)/20 > (-13)/30`
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