Section 3.5 Order of Operations and Applications of Fractions and Mixed Numbers 201 Applying the Order of Operations Simplify. Solution: Write the mixed number and whole number as improper fractions. Multiply and divide in order from left to right. Multiply by the reciprocal of the second fraction. Simplify. 5 3 5 1 31 1 12 1 6 1 6 3 10 3 1 10 2 Multiply. 1 2 3 6 a 3 10 b 5 3 6 1 3 10 1 2 3 6 a 3 10 b Example 2 Answers 2. 3. 41 15 2 6 or 2 11 15 13 40 Applying the Order of Operations Simplify. Solution: Perform the exponent operation first. Square the quantity Write the mixed number as an improper fraction. Multiply before adding. Simplify common factors within the second two fractions. 3 2 a2 2 5 2 a2 25 8 Add the fractions.The LCD is = 200. The fractions are now like. The answer can be written as either an improper fraction or a mixed number. 257 200 or 1 57 200 32 200 225 200 4 8 25 8 9 25 8 25 4 25 9 8 4 25 21 8 3 71 4 25 21 8 3 7 25 . 2 5 a2 5 8 b 3 7 a2 5 b 5 8 b 3 7 a 2 5 b 5 8 b 3 7 Example 3 Skill Practice Simplify. 2. 3 1 4 4 a2 5 b Skill Practice Simplify. 3. 3 2 5 a1 3 b Avoiding Mistakes Do not try to “cancel” the 4 and the 8. The fraction 4 25 is being added, not multiplied.
miller_basic_college_math_3e_ch1_3
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