# Sec-54 - Then we do the division by multiplying the...

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Math 1300 Section 5.4 Notes 1 Complex Fractions What we call a complex fraction in this section is a fraction made up of one or more fractions. Since the word complex is generally reserved for a concept you'll learn in College Algebra, a more accurate description of what you'll see in this section is complicated fractions. This type of fraction is one in which you have at least one fraction in the numerator or denominator (or both). Examples: 9 5 9 4 , 1 2 3 + x x , y xy 7 16 2 4 , 1 2 1 2 1 5 - - - + x x x The instructions for working with these types of fractions are "simplify the following" or just "simplify." The method we will employ for working these out is to work out the numerator and denominator separately until we get just one fraction (or monomial) in each.

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Unformatted text preview: Then we do the division by multiplying the numerator by the reciprocal of the denominator. Steps to simplifying complex fractions: 1. Get one fraction or monomial in each of the numerator and denominator. 2. Multiply the numerator by the reciprocal of the denominator. 3. Simplify a. Factor (if necessary) and cancel b. Leave your answer in factored form Examples: Simplify the following: 1. 9 5 9 4 2. y y 6 3 3. 4 3 16 2 2 +-y y y Math 1300 Section 5.4 Notes 2 4. p p m pm m p--5. y x y x 6 4 3 2-+-6. 5 6 3 2 9 6 5 2 2 2 2 + +---+ + x x x x x x x 7. 3 2 3 4 9 5 3 2 2-+-+ + + x x x x 8. 1 1 1 8--+ k k 9. 3 3 1 1------g f g f...
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## This note was uploaded on 02/22/2012 for the course MATH 1300 taught by Professor Staff during the Spring '08 term at University of Houston.

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Sec-54 - Then we do the division by multiplying the...

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