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To simplify a multiplication or division involving fractions, you need to find common factors. For small numbers, you might just try to do a complete factorization of each of the numbers involved. It's best not to multiply them in the first place; it doesn't really make sense to multiply and then factorize again. For larger numbers, you can use Euclid's algorithm to find the greatest common factor.

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To divide one fraction by another, you don't need a "common factor".

You simply multiply the first fraction, by the reciprocal of the second fraction.

Finding a common denominator is required for addition, subtraction, or comparison (i.e., finding out which fraction is greater).

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Q: How do you find the common factor in fraction division?
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