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Mastering Complex Fractions: Practical Tips and Examples

Learn how to simplify complex fractions step-by-step with common denominators and factoring. Examples for easy understanding.

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Mastering Complex Fractions: Practical Tips and Examples

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  1. 9.5 Addition, Subtraction, and Complex Fractions (p. 562)

  2. Remember: When adding or subtracting fractions, you need a common denominator!

  3. Examples:

  4. Example: ** Needs a common denominator 1st! Sometimes it helps to factor the denominators to make it easier to find your LCD. LCD: 3x3(2x+1)

  5. Example: LCD: (x+3)2(x-3)

  6. Assignment

  7. Complex Fraction – a fraction with a fraction in the numerator and/or denominator. Such as: How would you simplify this complex fraction? Multiply the top by the reciprocal of the bottom!

  8. Steps to make complex fractions easier. • Condense the numerator and denominator into one fraction each. (if necessary) • Multiply the numerator by the denominator. • Simplify the remaining fraction.

  9. Example:

  10. Example:

  11. Last Example:

  12. Assignment

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