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Question
Compare: `2/7 and (-3)/-8`
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Solution
`2/7 and (-3)/(-8)`
`(-3)/(-8) = 3/8` (because a negative divided by a negative is positive)
So now, we are comparing:
`2/7 and 3/8`
LCM of 7 and 8 is 56
Now convert both fractions:
`2/7 = (2 xx 8)/(7 xx 8) = 16/56`
`3/8 = (3 xx 7)/(8 xx 7) = 21/56`
Since 21 > 16, then `21/56 > 16/56.`
∴ `3/8 > 2/7`
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