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:
Alfi Blog
Februari 14, 2026
Admin
Bandung Indonesia
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:
Factoring to Reduce Fractions
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.
Alfi Blog
Februari 13, 2026
Admin
Bandung Indonesia
Factoring to Reduce Fractions
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.
Sometimes you can
combine two or more terms at a time in such a way that each term has an
algebraic expression as a common factor.
Alfi Blog
Februari 12, 2026
Admin
Bandung Indonesia
Sometimes you can
combine two or more terms at a time in such a way that each term has an
algebraic expression as a common factor.
More Factoring
An algebraic
expression raised to different powers might appear in different terms. Factor
out this expression raised to the lowest power.
Alfi Blog
Februari 11, 2026
Admin
Bandung Indonesia
More Factoring
An algebraic
expression raised to different powers might appear in different terms. Factor
out this expression raised to the lowest power.
The associative and distributive properties can be confusing. The
associative property states ðabÞc (ab)c = a(bc). This property says that when multiplying three (or more)
quantities you can multiply the first two then the third or multiply the second
two then the first. For example, it might be tempting to write 
. But 
. The ‘‘5’’ can be grouped either with ‘‘x + 1’’ or with ‘‘y – 3’’ but
not both:
Alfi Blog
Februari 10, 2026
Admin
Bandung Indonesia
The associative and distributive properties can be confusing. The
associative property states ðabÞc (ab)c = a(bc). This property says that when multiplying three (or more)
quantities you can multiply the first two then the third or multiply the second
two then the first. For example, it might be tempting to write . But . The ‘‘5’’ can be grouped either with ‘‘x + 1’’ or with ‘‘y – 3’’ but
not both:
the numerator and denominator are
only off by a factor of –1. To reduce this fraction, factor –1 from the
numerator or denominator:
. But 
. The ‘‘5’’ can be grouped either with ‘‘x + 1’’ or with ‘‘y – 3’’ but
not both: