2. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Aim: How do we reduce/simplify complex fractions? Do Now: Simplify:

3. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Dividing Rational Expressions w/Factoring 2x2x Invert 2 nd rational and change to multiplication Factor & cross cancel Multiply and simplify

4. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Ex. Complex Fractions - 1... Contain one or more fractions in the numerator, the denominator or both.

5. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Complex Rational Expressions - 2... Contains one or more rational expression in it numerator, its denominator or both. Ex. 2

6. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Complex Rational Expressions - 3... Contains one or more rational expression in it numerator, its denominator or both. Ex. ? Trying the same method as with the previous complex fraction

7. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Complex Rational Expressions - 3 (con’t)... Contains one or more rational expression in it numerator, its denominator or both. Ex. Method 1 - Find the LCD of the entire expression and multiply the entire complex expression by LCD/LCD. LCD = 16 Denominators - 16, 1, 8, and 2 16/16

8. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Factor numerator & denominator & Cancel out common factors Cross cancel & simplify Complex Rational Expressions - 3 (con’t) Method 1 - Find the LCD of the entire expression and multiply by LCD/LCD. 16/16 2 8

9. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Simplify numerator, Simplify denominator using LCD - 16 Method 2 - Change both numerator and denominator to single fractions. Then divide and simplify. Complex Rational Expressions - 3 (con’t) Combine Like Terms

10. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Divide the fractional numerator by the fraction denominator Factor & Cancel common factors & multiply Method 2 - Change both numerator and denominator to single fractions. Then divide and simplify. Complex Rational Expressions - 3 (con’t) 2

11. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Complex Rational Expressions... Contains one or more rational expression in it numerator, its denominator or both. HOW? Method 1: Find the LCD for all fractions and multiply the complex fraction by 1 in the form of Method 2: Change the numerator to a single fraction; change the denominator to a single fraction; and then divide the numerator by the denominator.

12. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Model Problems

13. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Model Problems

14. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Model Problems

15. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Model Problems

16. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Model Problems

17. Aim: Reducing Complex Fractions Course: Adv. Alg. & Trig. Model Problems