Rational Expressions

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PPT notes Section R7 Rational Expressions

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Sullivan Algebra and Trigonometry: Section R.7Rational Expressions: 

Sullivan Algebra and Trigonometry: Section R.7 Rational Expressions Objectives of this Section Reduce a Rational Expression to Lowest Terms Multiply and Divide Rational Expressions Add and Subtract Rational Expressions Use the Least Common Multiple Method Simplify Mixed Quotients

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The quotient of two polynomials is called a rational expression.

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Simplify: The number 1 Simplify: The number 1

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Rules for Multiplying and Dividing Rational Expressions

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Perform the indicated operation and simplify

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Rules for Adding and Subtracting Rational Expressions, Denominators Equal

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Perform the indicated operation and simplify the result.

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STEP 1: Find least common multiple

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Simplifying a Mixed Quotient First, treat the numerator and denominator separately, performing the indicated operation. Then, simplify the numerator and denominator.

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Finally, simplify the resulting fraction