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11-8 Mixed Expressions and Complex Fractions Algebra 1 Glencoe McGraw-HillLinda Stamper

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A mixed number is the sum of an integer and a fraction. A mixed expression is the sum of a monomial and a rational expression. Changing mixed expressions to rational expressions is similar to changing mixed number to improper fractions.

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Write the mixed number as a rational expression. Write the problem. Use the LCD to write with a common denominator. Distribute and combine like terms.

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Write the mixed number as a rational expression. Example 1Example 2

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If a fraction has one or more fractions in the numerator or denominator, it is called a complex fraction. numerical complex fraction You simplify an algebraic complex fraction in the same way that you simplify a numerical complex fraction. algebraic complex fraction

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Rewrite in arithmetic form. Use reciprocal to rewrite as multiplication. Simplify. Multiply. Change the mixed number to an improper fraction. 2

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Rewrite in arithmetic form. Use reciprocal to rewrite as multiplication. Simplify a complex fraction involving a monomial. Multiply. 2 1 Write the problem.

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Simplify. Example 3 Example 4 Example 5

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Rewrite in arithmetic form. Use reciprocal to rewrite as multiplication. Simplify a complex fraction involving polynomials. Multiply. Simplify the numerator. Factor.

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Simplify. Example 6 Example 7

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Simplify. Example 6

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Simplify. Example 7

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11-A9 Pages 623-624 #12–20,25-33.

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