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Fundamentals of Mathematics, 2008a

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270<br />

CHAPTER 4.<br />

INTRODUCTION TO FRACTIONS AND MULTIPLICATION<br />

AND DIVISION OF FRACTIONS<br />

Division <strong>of</strong> Fractions (Section 4.6)<br />

To divide one fraction by another fraction, multiply the dividend by the reciprocal <strong>of</strong> the divisor.<br />

4<br />

5 ÷ 2<br />

15 = 4 5 · 15 2<br />

Dividing 1 by a Fraction (Section 4.6)<br />

When dividing 1 by a fraction, the quotient is the reciprocal <strong>of</strong> the fraction.<br />

1<br />

3<br />

7<br />

= 7 3<br />

Multiplication Statements (Section 4.7)<br />

A mathematical statement <strong>of</strong> the form<br />

product = (factor 1) (factor 2)<br />

is a multiplication statement.<br />

By omitting one <strong>of</strong> the three numbers, one <strong>of</strong> three following problems result:<br />

1. M = (factor 1) · (factor 2) Missing product statement.<br />

2. product = (factor 1) · M Missing factor statement.<br />

3. product = M · (factor 2) Missing factor statement.<br />

Missing products are determined by simply multiplying the known factors. Missing factors are determined<br />

by<br />

missing factor = (product) ÷ (known factor)<br />

4.9 Exercise Supplement 9<br />

4.9.1 Exercise Supplement<br />

4.9.1.1 Fractions <strong>of</strong> Whole Numbers (Section 4.2)<br />

For Problems 1 and 2, name the suggested fraction.<br />

Exercise 4.9.1 (Solution on p. 290.)<br />

Exercise 4.9.2<br />

For problems 3-5, specify the numerator and denominator.<br />

Exercise 4.9.3 (Solution on p. 290.)<br />

4<br />

5<br />

9 This content is available online at .<br />

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