1. 3
Chapter
Chapter 2
Fractions and Mixed Numbers

2. Multiplying and Dividing Fractions
Section
3.3
Multiplying and Dividing Fractions

3. Objective A
Multiply Fractions.

4. Multiplying Fractions
To multiply two fractions, multiply the numerators and multiply the denominators.
If a, b, c, and d represent positive whole numbers we have
Objective A 4

5. Examples
Multiply. a. b. c.
Objective A 5

6. Examples
Multiply and simplify. a. b.
Objective A 6

7. Evaluate Exponential Expressions with Fractional Bases.
Objective B
Evaluate Exponential Expressions with Fractional Bases.

8. Example
Evaluate. a. b.

9. Finding Reciprocals of Fractions
Definition
Example
Reciprocals: Two numbers are reciprocals of each other if their product is 1.
Reciprocal of a fraction: To find the reciprocal of a fraction, interchange its numerator and denominator.
Objective A 9

10. Examples
Find the reciprocal of each number. a. b. c.
Objective A 10

11. Objective C
Divide Fractions.

12. Dividing Fractions
Objective A 12

13. Examples
Divide and simplify. a. b.
Objective A 13

14. Multiply or Divide Given Fractional Replacement Values.
Objective D
Multiply or Divide Given Fractional Replacement Values.

15. Example If x = 7/8 and y = ‒1/3 evaluate (a) xy and (b) x ÷y. a. b.
Objective A 15

16. Solve Applications That Require Multiplication of Fractions.
Objective E
Solve Applications That Require Multiplication of Fractions.

17. Example
Cedar Point is an amusement park located in Sandusky, Ohio. Its collection of 72 rides is the largest in the world. Of the rides, 2/9 are roller coasters. How many roller coasters are in Cedar Point’s collection of rides.
1. Understand.
Read and reread the problem. We are told that 2/9 of the rides are roller coasters. The word “of” means multiplication.
Objective A 17

18. Example-continued 2. Translate.
number of roller coasters is 2/9 of total rides at Cedar Point
3. Solve.
4. Interpret. The number of roller coasters at Cedar Point is 16.
Objective A 18