Sullivan Algebra and Trigonometry: Section R.7 Rational Expressions

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Sullivan Algebra and Trigonometry Section
R.7Rational 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