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Adding and Subtracting Complex Fractions: Practice and Simplification Techniques

This assignment focuses on adding and subtracting rational expressions and simplifying complex fractions. Learn to find common denominators, factorize, and simplify complex fractions. Practice problems given.

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Adding and Subtracting Complex Fractions: Practice and Simplification Techniques

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  1. 9.5 Addition, Subtraction, and Complex Fractions

  2. Objectives/Assignment Add and subtract rational expression Simplify complex fractions Assignment: 13-45 odd

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

  4. Examples:

  5. 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)

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

  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:

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