166 Chapter 3 Fractions and Mixed Numbers: Addition and Subtraction Applying the Order of Operations Example 3 Simplify. 2 a. b. Solution: 2 a2 1 2 11 2 a. Add fractions within parentheses first. Square the fraction The fraction is in lowest terms. b. Multiply the fractions. Add the fractions. 2 11 3 7 2 3. Applications of Addition and Subtraction of Fractions Recall that the perimeter of a polygon is found by adding the lengths of the sides. Finding Perimeter Find the perimeter. Solution: The perimeter is 211 yd. 12 5 12 yd 5 12 yd 35 12 or 2 11 12 10 5 15 5 12 Perimeter 10 12 5 12 15 12 5 12 Example 4 5 11 2 11 a 3 11 b 2 11 a1 21 6 3 11 b 2 11 a1 2 6 11 b 1 2 11 6 2 11 a1 2 11 6 b 9 49 3 7 . 3 7 a3 7 b a2 7 1 7 b 7 b 1 2 11 6 a2 7 1 7 b We can insert parentheses to emphasize that division is performed before addition. Multiply by the reciprocal of the divisor. 2 Answers 7. 8. 9. or 1 m 1 5 6 5 4 7 1 4 10 12 yd 15 12 yd Skill Practice Simplify. 7. 8. 3 14 2 7 4 5 a 3 10 2 10 b Skill Practice 9. Find the perimeter. 1 10 m 3 10 m 3 10 m 2 10 m 3 10 m
miller_basic_college_math_3e_ch1_3
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