1. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.3 Multiplying and Dividing Fractions

2. Martin-Gay, Prealgebra, 6ed 22 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Multiplying Fractions ofis 01 The word “of” means multiplication and “is” means equal to.

3. Martin-Gay, Prealgebra, 6ed 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. ofis means Multiplying Fractions

4. Martin-Gay, Prealgebra, 6ed 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Multiplying Two Fractions If a, b, c, and d are numbers and b and d are not 0, then In other words, to multiply two fractions, multiply the numerators and multiply the denominators.

5. Martin-Gay, Prealgebra, 6ed 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Examples If the numerators have common factors with the denominators, divide out common factors before multiplying. 2 1 or

6. Martin-Gay, Prealgebra, 6ed 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Examples 1 2 or

7. Martin-Gay, Prealgebra, 6ed 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Recall that when the denominator of a fraction contains a variable, such as we assume that the variable is not 0. Helpful Hint

8. Martin-Gay, Prealgebra, 6ed 88 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Expressions with Fractional Bases The base of an exponential expression can also be a fraction.

9. Martin-Gay, Prealgebra, 6ed 99 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Reciprocal of a Fractionbecause Two numbers are reciprocals of each other if their product is 1. The reciprocal of the fraction is

10. Martin-Gay, Prealgebra, 6ed 10 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Dividing Two Fractions If b, c, and d are not 0, then In other words, to divide fractions, multiply the first fraction by the reciprocal of the second fraction.

11. Martin-Gay, Prealgebra, 6ed 11 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Every number has a reciprocal except 0. The number 0 has no reciprocal. Why? There is no number that when multiplied by 0 gives the result 1. Helpful Hint

12. Martin-Gay, Prealgebra, 6ed 12 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. When dividing by a fraction, do not look for common factors to divide out until you rewrite the division as multiplication. Do not try to divide out these two 2s. Helpful Hint

13. Martin-Gay, Prealgebra, 6ed 13 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Fractional Replacement Values Replace x with and y with.If x = and y =, evaluate.