How do we simplify complex fractions and complex rational expressions? - PowerPoint PPT Presentation

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How do we simplify complex fractions and complex rational expressions?

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How do we simplify complex fractions and complex rational expressions? Do Now Finish this sentence: Dividing by a fraction is the same as What is a complex fraction? – PowerPoint PPT presentation

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Title: How do we simplify complex fractions and complex rational expressions?


1
How do we simplify complex fractions and complex
rational expressions?
  • Do Now
  • Finish this sentence
  • Dividing by a fraction is the same as

2
What is a complex fraction?
  • A complex fraction is fraction with another
    fraction in the numerator or denominator.
  • Ex.

3
So how can we simplify them?
  • Remember, fractions are just division problems.
  • We can rewrite the complex fraction as a division
    problem with two fractions.
  • This division problem then changes to
    multiplication by the reciprocal.

4
What if we have mixed numbers in the complex
fraction?
  • If we have mixed numbers, we treat it as an
    addition problem with unlike denominators.
  • We want to be working with two fractions, so make
    sure the numerator is one fraction, and the
    denominator is one fraction
  • Now we can rewrite the complex fraction as a
    division of two fractions

5
Example
6
Try on your own
7
What about complex rational expression?
  • Treat the complex rational expression as a
    division problem
  • Add any rational expressions to form rational
    expressions in the numerator and denominator
  • Factor
  • Simplify
  • Bad values

8
Example
9
Example
10
Try on your own
11
One more for you
12
Review
  • Treat the complex fraction as a division problem
  • Change any mixed numbers into improper fractions
  • Simplify
  • Bad values

13
Summary/HW
  • What are some challenges or potential pitfalls
    that one must remember when dealing with complex
    fractions?
  • HW pg 128, 1-19 odd
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