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प्रश्न
Which of the following rational numbers is the greatest?
पर्याय
`(-17)/24`
`(-13)/16`
`7/(-8)`
`(-31)/32`
उत्तर
`(-17)/24`
Explanation;
Hint:
L.C.M of 24, 16, 8, 32 = 8 × 2 × 3 × 2 = 96
`(-17)/24 = (-17 xx 4)/(24 xx 4) = (-68)/96`
`(-13)/16 = (-13 xx 6)/(16 xx 6) = (-78)/96`
`7/(-8) = (-7 xx 12)/(8 xx 12) = (-84)/96`
`(-31)/32 = (-31 xx 3)/(32 xx 3) = (-93)/96`
`(-93)/96 < (-84)/96 < (-78)/96 < (-68)/96`
`(-31)/32 < 7/(-8) < (-13)/16 < (-17)/24`
∴ `(-17)/24` is the greatest number
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