1. Section 6.3 Adding and Subtracting Rational Expressions
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2. I) Review L.C.D.
When adding or subtracting fractions, they must have a common denominator
Ex: Find the LCD & Simplify the following
L.C.D.
L.C.D.
Add the Numerator
when the denom- inator are the same

3. II) Changing the Denominator for R.E.
When adding/subtracting R.E., they must have a common denominator (LCD)
Ex: Change the R.E. to the following denominators

4. III) Adding/Subtracting R.E.
Ex: Simplify the following
L.C.D.
L.C.D.

5. Ex: Simplify

6. IV) Simplifying R.E. with Fractions
When Simplifying R.E. with Fractions, multiply ALL terms with the LCD to cancel out any denominators
Find the denominator in each fraction:
Denominator:
Find the LCD:
Find the LCD:
Multiply all terms by LCD
Multiply all terms by LCD to cancel out the Denominator
(Distribution/Expand)

7. V) Adding R.E. with Binomials in the Denominator
If the denominator is a trinomial factor it first
To add/subtract R.E., there needs to be a Common Denominator
Ex: Simplify the following
LCD
LCD
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8. Practice: Simplify LCD LCD
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9. Ex: Factor the denominator and simplify
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10. Challenge: Simplify & state the NPV
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11. Homework
Assignment 6.3