Sullivan Algebra and Trigonometry: Section R.7 Rational Expressions

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Presentation transcript:

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

The quotient of two polynomials is called a rational expression.

Simplify: The number 1 Simplify: The number 1

Rules for Multiplying and Dividing Rational Expressions

Perform the indicated operation and simplify

Rules for Adding and Subtracting Rational Expressions, Denominators Equal

Perform the indicated operation and simplify the result.

STEP 1: Find least common multiple

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

Finally, simplify the resulting fraction