Basic Mathematics for College Students

242 Chapter 3 Fractions and Mixed Numbers SECTION 3.4 Adding and Subtracting Fractions Objectives 1 Add and subtract fractions t ...

The rule for subtraction from Section 2.3 can be extended to subtraction involving signed fractions: To subtract two fractions, ...

Add and subtract fractions that have different denominators. Now we consider the problem  Since the denominators are different, ...

The figure below shows and expressed as equivalent fractions with a denominator of 15. Once the denominators are the same, the f ...

Success Tip In Example 6, did you notice that the denominator 5 is a factor of the denominator 15, and that the LCD is 15. In ge ...

Find the LCD to add and subtract fractions. When we add or subtract fractions that have different denominators, the least common ...

The LCM of 8 and 10 is a product of prime factors, where each factor is used the greatest number of times it appears in any one ...

3.4 Adding and Subtracting Fractions 249 EXAMPLE 9 Subtract and simplify: Strategy We begin by expressing each fraction as an eq ...

Solve application problems by adding and subtracting fractions. 5 250 Chapter 3 Fractions and Mixed Numbers Self Check 11 Refer ...

a. b. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 7 12 3 5 3 20 23 24  45 8  3 2 9 35 9 10 2 3  6 11 7 9 1 2 ANSWERS TO SELF CHECKS 3.4 ...

252 Chapter 3 Fractions and Mixed Numbers Fill in the blanks. Because the denominators of and are the same number, we say that ...

Fill in the blanks to complete each solution. Perform each operation and simplify, if possible.See Example 1. ...

Perform each operation. Find the difference ...

DINNERS A family bought two large pizzas for dinner. Some pieces of each pizza were not eaten, as shown. a. What fraction of th ...

HEALTH STATISTICS The circle graph below shows the leading causes of death in the United States for 2006. For example, of all o ...

3.5 Multiplying and Dividing Mixed Numbers 257 In the next two sections, we show how to add, subtract, multiply, and divide mixe ...

In this section, we will work with negative as well as positive mixed numbers. For example, the negative mixed number could be u ...

We can obtain the same result with far less work. To change to an improper fraction, we simply multiply 5 by 2 and add 1 to get ...

This example suggests the following procedure. Writing an Improper Fraction as a Mixed Number To write an improper fraction as a ...

Multiply and divide mixed numbers. We will use the same procedures for multiplying and dividing mixed numbers as those that were ...