Multiplying and Dividing Rational Expressions

1
Multiplying and DividingRational Expressions

• Lesson 9.1

2
Vocabulary

• Rational expressions a ratio of two polynomial
  expressions.
• Complex fractions rational expression whose
  numerator and/or denominator contains a rational
  expression.

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How to Solve Rational Expressions by Multiplying

• Simplify the numerator and denominator if they
  can be simplified.
• Factor the numerator and denominator if possible.
• Multiply the numerators and denominators.

4
examples
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How to solve rational expressions by dividing

• Change the second term into its reciprocal (flip
  it).
• You will always change a fraction division
  problem into a multiplication problem.
• Simplify, factor, and solve by multiplying.

6
How to Solve Complex Fractions

• Any fraction is equal to the numerator times the
  reciprocal of the denominator.
• Example