1. Multiplying Fractions
Chapter 6
Section 6.4

2. Objective
Students will multiply algebraic fractions

3. Concept
The property of quotients given in the last chapter states that ac = a * c bd b d You can rewrite this result to get the multiplication rule for fractions

4. Concept
Multiplication Rule for Fractions a * c = ac b d bd To multiply fractions, you multiply their numerators and multiply their denominators

5. Concept
There are two ways that you can go about multiplying algebra fractions 1. Multiply first, simplify second 2. Simplify first, multiply second Both methods work, method 2 will always involve smaller numbers

6. Example
8 *

7. Example
6x * y2 y3 15

8. Example
x2 – x – 12 * x2 – 25 x2 – 5x x + 3

9. Concept
In Chapter 4 you learned the rule of exponents for a power and a product: For every positive integer m, (ab)m = ambm. The following rule for powers in quotients is similar

10. Concept
Rule of Exponents for a Power of a Quotient For every positive integer m, (a/b)m = am bm

11. Example
(x/3)3

12. Example
(-c/2)2 * 4/3c

13. Questions

14. Assignment
Worksheet