Among factoring’s many uses is in reducing fractions. If the numerator’s terms and the denominator’s terms have common factors, factor them then cancel. It might not be necessary to factor the numerator and denominator completely.
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Reducing a fraction or adding two fractions sometimes only
requires that – 1 be factored from one or more denominators. For instance in
the numerator and denominator are only off by a factor of – 1. To reduce this fraction, factor 1 from the numerator or denominator:
In the sum
the denominators are off by a factor of –1. Factor –1 from one of the denominators and
use the fact that
to write
both terms with the same denominator.
In the next examples and practice problems a ‘‘–1’’ is factored from the denominator and moved to the
numerator.
Practice
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Sumber
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