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Review Problems 1) 2) 3)
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Add/Subtract Rational Expressions
Objective-to recall procedures used to add and subtract fractions, and apply to rational expressions
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Review: Adding Fractions
You can only add like to like Same Denominators
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Different Denominators
Make them the same find a common denominator The product of all denominators is always a common denominator But not always the least common denominator
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Finding the LCD Example:
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Factor the Denominators
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Assemble LCD
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Build up Fractions to LCD
×5 ×4
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Add Numerators And Reduce if Needed
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Rational Expressions Example:
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Factor the Denominators
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Assemble LCD DENOMINATORS
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Build up Fractions to LCD
) ( x - ( ) 1 x + ( ) 1 FACTORED DENOMINATORS LCD x = + - ( )( ) 1
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Add Numerators
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Simplify Numerator
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Summary of Steps Factor denominators Assemble LCD Build up Fractions Add Numerators Simplify Numerator
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Try these examples 1) 2) 3)
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Answers
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