Chapter 23 Fractions and Mixed Numbers Copyright 2016

Section 3. 3 Multiplying and Dividing Fractions Copyright © 2016, 2012, 2007 Pearson Education,

Objective A Multiply Fractions. Copyright © 2016, 2012, 2007 Pearson Education, Inc. Slide 3

$Multiplying Fractions To multiply two fractions, multiply the numerators and multiply the denominators. If$

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 Copyright © 2016, 2012, 2007 Pearson Education, Inc. Slide 4

Examples Multiply. a. b. c. Copyright © 2016, 2012, 2007 Pearson Education, Inc. Slide

Examples Multiply and simplify. a. b. Copyright © 2016, 2012, 2007 Pearson Education, Inc.

Objective B Evaluate Exponential Expressions with Fractional Bases. Copyright © 2016, 2012, 2007 Pearson

Example Evaluate. a. b. Copyright © 2016, 2012, 2007 Pearson Education, Inc. Slide 8

Finding Reciprocals of Fractions Definition 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. Copyright © 2016, 2012, 2007 Pearson Education, Inc. Example Slide 9

Examples Find the reciprocal of each number. a. b. c. Copyright © 2016, 2012,

Objective C Divide Fractions. Copyright © 2016, 2012, 2007 Pearson Education, Inc. Slide 11

Dividing Fractions Copyright © 2016, 2012, 2007 Pearson Education, Inc. Slide 12

Examples Divide and simplify. a. b. Copyright © 2016, 2012, 2007 Pearson Education, Inc.

Objective D Multiply or Divide Given Fractional Replacement Values. Copyright © 2016, 2012, 2007

Example If x = 7/8 and y = ‒ 1/3 evaluate (a) xy and

Objective E Solve Applications That Require Multiplication of Fractions. Copyright © 2016, 2012, 2007

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. Copyright © 2016, 2012, 2007 Pearson Education, Inc. Slide 17

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. Copyright © 2016, 2012, 2007 Pearson Education, Inc. Slide 18