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Published byDoreen Fletcher Modified over 5 years ago

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Rational Expressions Finding LCD Algebra

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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 Each factor in the denominators needs to be used at least once in the 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 Each factor in the denominators needs to be used at least once in the LCD.

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Build up Fractions to LCD LCDxxx ()( )111 x ()1 x ()1)(x ()1 x ()1 FACTORED DENOMINATORS

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Add Numerators

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Simplify Numerator

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Summary of Steps 1.Factor denominators 2.Assemble LCD 3.Build up Fractions 4.Add/Subtract Numerators 5.Simplify Numerator 6.Reduce Factors if Possible

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Add or subtract as indicated. So the LCD is 2(x + 3)(x – 3)

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Subtract So the LCD is (x – 2)(x + 3)(x – 3)

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15. Solve each of the following equations.

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Adding and Subtracting Simple Fractions 6-7Page 354

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LCDs for Rational Expressions

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Rational Expressions

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Addition and Subtraction

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Rational Expressions Finding LCD Algebra 1 & Algebra 1 Honors

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