1. 29. Add and Subtract Rational Expressions
And Complex Fractions

2. Adding or Subtracting With like denominators With unlike denominators
add the numerators, keep the denominator the same
simplify
With unlike denominators
Find the lowest common denominator.
factor the denominators to make it easier to find LCD.
Rewrite the rationals using the common denominator and then add or subtract.
Simplify numerators

3. Let’s TRY…

5. HAVE A FRACTION IN THE NUMERATOR AND DENOMINATOR
COMPLEX FRACTIONS:
HAVE A FRACTION IN THE NUMERATOR AND DENOMINATOR
Work the numerator problem, work the denominator problem. Flip the denominator, simplify

7. Example:

8. Example Simplify x2 – 2x – 3 x2 – 9 x2 + 8x + 7 x2 + x – 6 x2 – 2x – 3
x2 – 2x – 3
x2 – 9
x2 + x – 6 
x2 + 8x + 7
(x – 3)(x + 1)
(x – 2)(x + 3)
(x – 2)  =
(x + 3)(x – 3)
(x + 1)(x + 7)
(x + 7)

9. Last Example: