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Rational Expressions Finding LCD

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

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  1. Rational Expressions Finding LCD Algebra

  2. Review: Adding Fractions You can only add like to like Same Denominators

  3. 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

  4. Finding the LCD Example:

  5. Factor the Denominators

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

  7. ×5 ×4 ×5 ×4 Build up Fractions to LCD

  8. Add Numerators And Reduce if Needed

  9. Rational Expressions Example:

  10. Factor the Denominators

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

  12. ( x 1 ) ( ( ( x x x 1 1 1 ) ) ) + + - - ( ) FACTOREDDENOMINATORS LCD = ( x + 1 )( x - 1 )( x - 1 ) Build up Fractions to LCD

  13. Add Numerators

  14. Simplify Numerator

  15. Summary of Steps • Factor denominators • Assemble LCD • Build up Fractions • Add/Subtract Numerators • Simplify Numerator • Reduce Factors if Possible

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

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

  18. Rational Expressions Finding LCD Algebra 1 & Algebra 1 Honors

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