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Algebra

Algebra. 11.5 Multiplying and Dividing Rational Expressions. Multiplying Fractions. When you multiply fractions, you multiply:. NUMERATOR x NUMERATOR. DENOMINATOR x DENOMINATOR. But first, you can simplify by reducing fractions and cross-canceling common factors. 5. 25. 1. 5.

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Algebra

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  1. Algebra 11.5 Multiplying and Dividing Rational Expressions

  2. Multiplying Fractions When you multiply fractions, you multiply: NUMERATOR x NUMERATOR DENOMINATOR x DENOMINATOR But first, you can simplify by reducing fractions and cross-canceling common factors. 5 25 1 5 8 x = 32 15 12 4 3

  3. Multiplying Rational Expressions When you multiply rational expressions, you use the same process. You factor completely, then divide out common factors. 5 x 7 y x x Factored

  4. Try these. x x 3 x x

  5. Dividing Fractions When you divide fractions, you multiply by the reciprocal of the divisor: 4 28 16 16 7 4 21 ∙ = ÷ = 3 21 9 9 4 3 1

  6. Dividing Rational Expressions When you divide rational expressions, you use the same process. You rewrite the expression to multiply by the reciprocal, then multiply as usual. 5 x 7 x

  7. Try these. x²- 1 Think of this term as 1 x x x x

  8. Homework pg. 673 #12-34 Quiz 11.4-11.6 on Friday

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