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6-3: Complex Rational Expressions

6-3: Complex Rational Expressions. Complex Rational Expression (fraction) – contains a fraction in its numerator, denominator, or both. Method 1: Find LCD of all denominators, then multiply both the numerator and denominator by the LCD. Ex 1:. Multiply numerator and denominator by LCD.

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6-3: Complex Rational Expressions

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  1. 6-3: Complex Rational Expressions Complex Rational Expression (fraction) – contains a fraction in its numerator, denominator, or both.

  2. Method 1: Find LCD of all denominators, then multiply both the numerator and denominator by the LCD. Ex 1: Multiply numerator and denominator by LCD LCD = y Distribute  

  3. Ex 2: Multiply numerator and denominator by LCD LCD = Distribute   or factor 

  4. Ex 3: Multiply numerator and denominator by LCD LCD = Distribute   Factor 

  5. LCD = Ex 4:  Rewrite with positive exponents Multiply numerator and denominator by LCD Distribute   or factor 

  6. Ex 5: Multiply numerator and denominator by LCD LCD = Distribute  

  7. Method 2: Simplify the numerator and denominator separately, then multiply by the reciprocal (flip and multiply). Add fractions in numerator and denominator. Ex 6: LCD = Multiply by reciprocal  

  8. Ex 7: Simplify the numerator and denominator Factor   Multiply by reciprocal  

  9. Ex 8: Simplify the numerator and denominator Factor   Multiply by reciprocal  

  10. Ex 9: Simplify the numerator and denominator Factor   Multiply by reciprocal  

  11. 6-3 Summary Method 1: Find LCD of all denominators, then multiply both the numerator and denominator by the LCD.   Method 2: Simplify the numerator and denominator separately, then multiply by the reciprocal.    

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