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Math 209

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When simplifying a rational fraction, why do you need to factor the numerator and the denominator?

If there is a common factor in both the numerator and denominator, that factor will cancel, thus simplifying the fraction.
e.g.
15/18 = (3*5)/3*6)
=(3/3)*(5/6)
=(1)*5/6
=5/6

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