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Rational Expressions Finding LCD. Algebra. Review: Adding Fractions. You can only add like to like Same Denominators. Different Denominators. Make them the same find a common denominator The product of all denominators is always a common denominator
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Rational Expressions Finding LCD Algebra
Review: Adding Fractions You can only add like to like Same Denominators
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
Finding the LCD Example:
Each factor in the denominators needs to be used at least once in the LCD. Assemble LCD
×5 ×4 ×5 ×4 Build up Fractions to LCD
Add Numerators And Reduce if Needed
Rational Expressions Example:
DENOMINATORS Each factor in the denominators needs to be used at least once in the LCD. Assemble LCD
( x 1 ) ( ( ( x x x 1 1 1 ) ) ) + + - - ( ) FACTOREDDENOMINATORS LCD = ( x + 1 )( x - 1 )( x - 1 ) Build up Fractions to LCD
Summary of Steps • Factor denominators • Assemble LCD • Build up Fractions • Add/Subtract Numerators • Simplify Numerator • Reduce Factors if Possible
So the LCD is 2(x + 3)(x – 3) Add or subtract as indicated.
So the LCD is (x – 2)(x + 3)(x – 3) Subtract
Rational Expressions Finding LCD Algebra 1 & Algebra 1 Honors