2. Rational Expressions Finding LCD Algebra

3. Review: Adding Fractions You can only add like to like Same Denominators

4. Different Denominators Make them the same find a common denominator The product of all denominators is always a common denominator But not always the least common denominator

5. Finding the LCD Example:

6. Factor the Denominators

7. Assemble LCD Each factor in the denominators needs to be used at least once in the LCD.

8. Build up Fractions to LCD ×5 ×4

9. Add Numerators And Reduce if Needed

11. Rational Expressions Example:

12. Factor the Denominators

13. Assemble LCD DENOMINATORS Each factor in the denominators needs to be used at least once in the LCD.

14. Build up Fractions to LCD LCDxxx  ()( )111 x  ()1 x  ()1)(x  ()1 x  ()1 FACTORED DENOMINATORS

15. Add Numerators

16. Simplify Numerator

17. Summary of Steps 1.Factor denominators 2.Assemble LCD 3.Build up Fractions 4.Add/Subtract Numerators 5.Simplify Numerator 6.Reduce Factors if Possible

18. Add or subtract as indicated. So the LCD is 2(x + 3)(x – 3)

19. Subtract So the LCD is (x – 2)(x + 3)(x – 3)

20. 15. Solve each of the following equations.

21. Adding and Subtracting Simple Fractions 6-7Page 354

22. LCDs for Rational Expressions

25. Rational Expressions

30. Addition and Subtraction

43. Rational Expressions Finding LCD Algebra 1 & Algebra 1 Honors