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Question
Write the given rational numbers in ascending order:
`(-3)/7, (-3)/2, (-3)/4`
Solution
`(-3)/7, (-3)/2, (-3)/4`
By converting these to equal fractions,
`(-3)/7=(-3 xx 4)/(7 xx 4)=(- 12)/28`;
`(-3)/2=(-3 xx 14)/(2 xx 14)=(- 42)/28`;
`(-3)/4=(-3 xx 7)/(4 xx 7)=(- 21)/28`
As -42 < -21 < -12,
∴ `(- 3)/2 < (- 3)/4 < (- 3)/7`
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