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Mastering Rational Expressions: Operations & Simplification

Learn to reduce, multiply, divide, add, subtract rational expressions; use LCM method; simplify mixed quotients. Step-by-step tutorials for effective understanding.

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Mastering Rational Expressions: Operations & Simplification

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  1. Sullivan Algebra and Trigonometry: Section R.7Rational Expressions • Objectives of this Section • Reduce a Rational Expression to Lowest Terms • Multiply and Divide Rational Expressions • Add and Subtract Rational Expressions • Use the Least Common Multiple Method • Simplify Mixed Quotients

  2. The quotient of two polynomials is called a rational expression.

  3. Simplify: The number 1 Simplify: The number 1

  4. Rules for Multiplying and Dividing Rational Expressions

  5. Perform the indicated operation and simplify

  6. Rules for Adding and Subtracting Rational Expressions, Denominators Equal

  7. Perform the indicated operation and simplify the result.

  8. STEP 1: Find least common multiple

  9. Simplifying a Mixed Quotient First, treat the numerator and denominator separately, performing the indicated operation. Then, simplify the numerator and denominator.

  10. Finally, simplify the resulting fraction

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