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 Amsco Integrated Algebra I: Adding or Subtracting Algebraic Fractions
This is a free lesson from our course in Amsco's Integrated Algebra
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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The Meaning of an Algebraic Fraction
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Solving Inequalities with Fractional Coefficients

(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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