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Amsco Integrated Algebra I: Adding or Subtracting Algebraic Fractions |
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This is a free lesson from our course in Amsco's Integrated Algebra
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This lesson covers the concepts on how to add and subtract algebric fractions having
same or different denominators. The approach is simple and common rule for adding
or subtracting fractions is: The denominators must be the same, then add or subtract
the numerators, and place their sum/difference over the common denominator. E.g.
x/y +z/y = x +z/y or x/y - z/y = x - z/y.
Further you'll learn the concepts and steps to add or subtract having same or different
denominators:
•write a fraction whoes numerator is the sum(or difference) of the
numerators and whose denominator is the common denominator of the given fractions.
• reduce the resulting fraction in lowest terms.
• for example, 5/4x+9/4x=(5+9)/4x=14/4x=7/2x.
(More text below video...)
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(Continued from above)
To add or subtract fractions having different denominators steps are:
• find a common denominator for these fractions.
•change each fraction to an equivalent fraction with the chosen common denominator.
•write a fraction whoes numerator is the sum(or difference) of the numerators of
the new fractions and whose denominator is the common denominator.
•reduce the resulting fraction in lowest terms.
For example, 5/a2b+ 2/ab2=(5/a2b)(b/b)+(2/ab2)(a/a)=5b/a2b2+2a/a2b2=(5b+2a)/a2b2.
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