Adding rational expressions with different denominators 5

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Taught by YourMathGal
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Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn how to add and subtract algebraic fractions with different denominators by finding the least common denominator and simplifying each fraction. The transcript walks us through two examples, one with a simple solution and another that requires factoring and multiplying to cancel out terms. The lesson emphasizes the importance of recognizing that there can be different ways to write the final answer and suggests practicing these problems until they become clear.

Lesson Description:

Shows how to add and subtract algebraic fractions by getting a common denominator.

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Questions answered by this video:
  • How do you add and subtract rational expressions with unlike denominators?
  • How do you subtract (5x - 1)/(x^2 - 4x + 4) - (3x + 1)/(3x - 6)?
  • How can you rewrite the solution to a problem if the leading coefficient of the numerator is negative?
  • How do you subtract 7x/(3 - x) - (4x + 9)/(x - 3) if the denominators of the fractions are opposites?
  • How do you subtract 7x/(x - 3) + (4x + 9)/(3 - x) if the denominators of the fractions are opposites?
  • How can you cancel terms in 3(x - 3)/(x - 3)?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson tackles some more difficult problems for factoring the denominators and finding least common denominators of algebraic fractions, and then adding or subtracting them. All steps are explained in this extension of this series on adding and subtracting rational expressions with different denominators.