1. 9.5 Addition, Subtraction, and Complex Fractions p. 562 What must be true before you can add or subtract complex fractions? What is the easiest way to simplify a complex fraction?

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

3. Examples:

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

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

6. 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!

7. Steps to make complex fractions easier. 1.Condense the numerator and denominator into one fraction each. (if necessary) 2.Multiply the numerator by the inverse of the denominator. 3.Simplify the remaining fraction.

8. Example:

9. Example:

10. What must be true before you can add or subtract complex fractions? The fractions must have common denominators. What is the easiest way to simplify a complex fraction? Treat the complex fraction as two problems.

11. Assignment 9.5 p. 565 13-39 odd