1. 9.5 Addition, Subtraction, and Complex Fractions

2. Objectives/Assignment
Add and subtract rational expression
Simplify complex fractions
Assignment: 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: