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).
You divide top and bottom by the same number, if you find a common factor. For example, if your fraction is 9/12, you check whether top and bottom have any common factor greater than one (in this case, the common factor is 3), and then you divide top and bottom by 3, to get 3/4.
You find the highest common factor of the numerator and denominator. If that is 1, then the fraction is in its simplest form.
A fraction is in simplest form when the numerator and denominator have no common factor except ' 1 '.
To simplify a fraction, the numerator and denominator are divided by a common factor. The simplification process is continued until there is no common factor. By dividing the numerator and denominator by their greatest common factor no further simplification is possible.
Divide the numerator and denominator by their highest common factor to find the simplest form of a fraction