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12-8 Mixed Expressions and Complex Fractions Objective Students will be able to simplify complex fractions.

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What is a complex fraction? Can anyone provide an example? A complex fraction is a fraction that has one or more fractions in the numerator and/or denominator. Example: How do we simplify this fraction?

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Keep in mind fraction bars indicate division, so rewrite the complex fraction as a division problem. Then follow the division rules for simplifying rational expressions.

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We would follow the same procedure when dealing with variables.

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Simplify each expression. 1) 2)

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Try these. 3)4)

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5)6) 7)

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Try these. 8)9)

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3.9 Mult/Divide Rational Expressions Example 1 Multiply rational expressions involving polynomials Find the product. Multiply numerators and denominators.

3.9 Mult/Divide Rational Expressions Example 1 Multiply rational expressions involving polynomials Find the product. Multiply numerators and denominators.

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