200 Chapter 3 Fractions and Mixed Numbers: Addition and Subtraction 1 5 1 5 7. a. b. c. d. 8. a. b. c. d. 4 5 4 5 9. a. b. c. d. 4 5 7 3 1 5 10. a. b. c. d. 3 7 7 3 3 7 7 3 3 7 7 3 3 7 1 5 9 1 5 9 1 5 9 1 4 5 5 9 25 9 2 25 9 2 25 9 2 25 9 2 a4 b 2 3 a4 b 2 3 4 1 5 2 3 4 2 3 Section 3.5 Order of Operations and Applications 1. Order of Operations At this point in the text, we have learned how to add, subtract, multiply, and divide whole numbers, fractions, and mixed numbers. In this section we practice putting all these skills to use by applying the order of operations. To review the steps in the order of operations, refer to Section 3.1, page 165. Applying the Order of Operations Simplify. Solution: First subtract the numbers within parentheses. Write the whole number as an improper fraction. Convert the fractions to like fractions.The LCD is 4. The fractions are now like. Subtract. Square the quantity . 2 2 2 a3 a12 or 5 2 1 16 4 81 16 9 4 9 4 9 4 a9 4 b 3 4 2 b a3 4 1 4 3 4 2 b a3 3 4 b 1 3 4 b a3 3 4 b Example 1 Concepts 1. Order of Operations 2. Applications of Fractions and Mixed Numbers 3. Applications of Geometry Skill Practice Simplify. 1. a4 Answer 1. 9 4 5 2 2 b of Fractions and Mixed Numbers
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