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Adding, Subtracting, Multiplying, & Dividing Rational Expressions

Learn how to add, subtract, multiply, divide, and simplify rational expressions with step-by-step examples and explanations. Master the techniques for each operation to enhance your understanding and problem-solving skills in algebraic expressions.

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Adding, Subtracting, Multiplying, & Dividing Rational Expressions

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  1. Adding, Subtracting, Multiplying, & Dividing Rational Expressions Objective: Add, subtract, multiply, divide, and simplify rational expressions.

  2. Example #1Multiplying & Dividing Rational Expressions • Multiplying: Factor first, multiply straight across, cancel common factors. A.)

  3. Example #1Multiplying & Dividing Rational Expressions • Dividing: Factor first, multiply by the reciprocal of the second fraction, and cancel common factors. B.)

  4. Example #2Adding & Subtracting Rational Expressions • To add or subtract rational expressions, they must have the same denominator. If not, factor to compare denominators and find the least common denominator. A.)

  5. Example #2Adding & Subtracting Rational Expressions • To add or subtract rational expressions, they must have the same denominator. If not, factor to compare denominators and find the least common denominator. B.)

  6. Example #2 continued…Adding & Subtracting Rational Expressions C.)

  7. Example #2 continued…Adding & Subtracting Rational Expressions D.)

  8. Example #3Simplifying Complex Fractions • To simplify complex fractions, rewrite them as regular division problems. A.)

  9. Example #3Simplifying Complex Fractions • To simplify complex fractions, rewrite them as regular division problems. B.)

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