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To simplify or reduce an improper fraction, you can divide the numerator and denominator by the greatest common factor of both numbers. For example, if you are given the fraction

36/60; the common factors of the numerator (36) are 2, 3, 4, 6, 9, 12, and 18. The common factors of the denominator are 2, 3, 5, 6, 10, 12, and 20. We can see that 12 is the largest common factor between the numerator and denominator.

Divide the numerator and denominator by 12: 36 / 12 = 3, and 60 / 12 = 5. We see that the fraction reduces to

3/5.

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โˆ™ 2009-09-21 03:25:00
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Q: Why is finding the greatest common factor useful for reducing fractions?
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