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it helps because if you have 4/7 and 6/10 and you want to figure out which is larger it helps to know if the new numerator for 4/7 is larger than the new numerator for 6/10.here is the answer to my example:7 * 10 = 70,70 is the new denomenator.

4/7= 40/70 and 6/10=42/70 ,therefore 6/10 is larger than 4/7

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Q: How does writing fractions with a common denominator help you compare the fraction?
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