Rational%20Expressions

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Section 6.1
Rational Expressions
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OBJECTIVES
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OBJECTIVES
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RULES
Avoiding Zero Denominators
The variables in a rational expression must not
be replaced by numbers that make the denominator
zero.
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RULES
Fundamental Rule of Rational Expressions
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PROCEDURE
Reducing Rational Expressions to Lowest Terms

1. Write the numerator and denominator of the
   expression in factored form.

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PROCEDURE
Reducing Rational Expressions to Lowest Terms

1. Find the factors that are common to the numerator
   and denominator.

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PROCEDURE
Reducing Rational Expressions to Lowest Terms
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PROCEDURE
Reducing Rational Expressions to Lowest Terms

1. Rewrite the expression in simplified form.

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RULE
Quotient of Additive Inverses
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Section 6.1Exercise 1
Chapter 6 Rational Expressions
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Section 6.1Exercise 2
Chapter 6 Rational Expressions
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Section 6.1Exercise 3
Chapter 6 Rational Expressions
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Section 6.2
Rational Expressions
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OBJECTIVES
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RULE
Multiplying Rational Expressions
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PROCEDURE
Multiplying Rational Expressions

1. Reduce each expression if possible.

1. Multiply the numerators to obtain the new
   numerator.

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PROCEDURE
Multiplying Rational Expressions

1. Multiply denominators to obtain new denominator.

1. Reduce if possible.

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RULE
Dividing Rational Expressions
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Section 6.2Exercise 6
Chapter 6 Rational Expressions
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Section 6.2Exercise 8
Chapter 6 Rational Expressions
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Section 6.3
Rational Expressions
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OBJECTIVES
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OBJECTIVES
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PROCEDURE
Adding (or Subtracting) Fractions with Different
Denominators.

1. Find the LCD.

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PROCEDURE
Adding (or Subtracting) Fractions with Different
Denominators.

1. Write all fractions as equivalent ones with LCD
   as the denominator.

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PROCEDURE
Adding (or Subtracting) Fractions with Different
Denominators.

1. Add or subtract numerators, keep denominators.

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PROCEDURE
Adding (or Subtracting) Fractions with Different
Denominators.

1. Reduce if possible.

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Section 6.3Exercise 11
Chapter 6 Rational Expressions
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Section 6.3Exercise 12
Chapter 6 Rational Expressions
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Section 6.4
Rational Expressions
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OBJECTIVE
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DEFINITION
Complex Fraction
A fraction with one or more fractions in its
numerator, denominator or both.
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PROCEDURE
Simplifying Complex Fractions

1. Multiply numerator and denominator by the LCD of
   the fractions involved, or

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PROCEDURE
Simplifying Complex Fractions

1. Perform operations indicated in numerator and
   denominator, then divide simplified numerator by
   simplified denominator.

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Section 6.4Exercise 13
Chapter 6 Rational Expressions
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Section 6.5
Rational Expressions
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OBJECTIVES
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OBJECTIVES
Solve a rational equation for a specified
variable.
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LEAST COMMON MULTIPLE
Multiplying each side of the equation
by L is equivalent to multiplying each term by L.
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Section 6.5Exercise 17
Chapter 6 Rational Expressions
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Section 6.5Exercise 18
Chapter 6 Rational Expressions
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Section 6.6
Rational Expressions
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OBJECTIVES
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RULE
Cross Products
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Section 6.6Exercise 19
Chapter 6 Rational Expressions
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Section 6.6Exercise 21
Chapter 6 Rational Expressions
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Section 6.6Exercise 22
Chapter 6 Rational Expressions
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Section 6.6Exercise 25
Chapter 6 Rational Expressions
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