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Question
Compare:
`(-5)/8 and 7/-12`
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Solution
The fraction `7/-12` can be written as: `7/-12 = (-7)/12`
So, we are comparing: `(-5)/8 and (-7)/12`
The least common denominator (LCD) of 8 and 12 is 24. Rewrite both fractions with a denominator of 24:
1) For `(-5)/8:`
`(-5)/8 = (-5xx3)/(8xx3) = (-15)/24`
2) For `(-7)/12:`
`(-7)/12 = (-7xx2)/(12xx2) = (-14)/24`
Now, compare −15 and −14: −15 < −14.
`(-15)/24 < (-14)/24`
`(-5)/8 < 7/-12`
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