Section 2.5 Division of Fractions and Applications 135 a2 3 a2 1 31 9 3 42 4 9 b 6 b 6 We will divide from left to right. To emphasize this order, we can insert parentheses around the first two fractions. number as an improper fraction. a3 2 a3 3 1 2 1 4 2 b b 1 62 Solution: Simplify within parentheses and write the whole 2 Perform operations within parentheses first. Multiply by the reciprocal of the divisor. Simplify. Multiply within parentheses. With an exponent of 2, multiply 2 factors of the base. a3 5 a3 51 a9 9 2 2 2 2 b 81 4 6 1 1 6 9 2 15 2 3 15 2 2 b 2 b Multiply. a3 5 2 15 b Applying the Order of Operations Simplify. Write the answer as a fraction. Solution: Simplify within parentheses. Multiply by the reciprocal of the divisor. Simplify. Multiply. 2 3 4 9 6 2 3 4 9 6 Example 3 Applying the Order of Operations Simplify. Write the answer as a fraction. a3 5 2 15 b Example 4 Skill Practice Simplify. 12. TIP: In Example 3 we could also have written each division as multiplication of the reciprocal right from the start. 1 Simplify. 2 1 31 1 4 9 3 42 1 62 Multiply. 2 3 4 9 6 a2 3 9 4 b 1 6 Answers 12. 2 13. 2 9 196 6 7 2 3 14 Skill Practice Simplify. 13. a4 7 8 3 b
miller_basic_college_math_3e_ch1_3
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