194 Chapter 3 Fractions and Mixed Numbers: Addition and Subtraction Answer 11. 2 1 6 ft 4 12 3 Study Skills Exercise Write the page number(s) for the Problem Recognition Exercises for this chapter. Explain the purpose of this set of exercises. Review Exercises For Exercises 1–8, add or subtract as indicated. Write the answer as a fraction or whole number. 1. 2. 3. 4. 5. 6. 7. 8. 17 10 23 100 321 1000 125 32 51 32 58 32 23 6 5 6 2 3 9 5 3 4 15 7 25 8 23 24 3 16 7 12 8 15 11 15 As you can see from Examples 4 and 8, when we convert mixed numbers to improper fractions, the numerators of the fractions become larger numbers. Thus, we must add (or subtract) larger numerators than if we had used the method involving columns. This is one drawback. However, an advantage to converting to improper fractions first is that there is no need for carrying or borrowing. 3. Applications of Mixed Numbers Subtracting Mixed Numbers in an Application The average height of a 3-year-old girl is in. The average height of a 4-yearold girl is in. On average, by how much does a girl grow between the ages of 3 and 4? Solution: We use subtraction to find the difference in heights. The average amount of growth is 3 5 in. 12 41 3 4 41 3 3 4 3 41 9 12 38 1 3 38 1 4 3 4 38 5 12 4134 3813 Example 9 Skill Practice 11. On December 1, the snow 12 base at the Bear Mountain Ski Resort was 413 ft. By January 1, the base was 6ft. By how much did the base amount of snow increase? Section 3.4 Practice Exercises
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