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Published byDebra Ray Modified over 4 years ago

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

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

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

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

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

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Ex 5: LCD = Distribute Multiply numerator and denominator by LCD

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Method 2: Simplify the numerator and denominator separately, then use division and multiply by reciprocal. LCD = Ex 6: Add fractions in numerator and denominator. Multiply by reciprocal

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

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

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

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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 use division and multiply by reciprocal.

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