124 Chapter 2 Fractions and Mixed Numbers: Multiplication and Division Multiplying and Simplifying Fractions Example 4 Multiply and simplify. Write the answers as fractions. 6 a3 b a. b. 21 25 15 39 65 24 8 Solution: a. Write the whole number as a fraction. Reduce before multiplying. Multiply. 6 a3 21 25 b 15 39 6 1 6 3 1 9 4 65 24 7 3 8 3 84 a21 3 15 b 65 24 8 b. Multiply the first two fractions. Simplify. 25 5 a21 65 7 21 65 1 7 8 39 13 b 1 65 24 8 65 24 2. Fractions and the Order of Operations For problems with more than one operation, recall the order of operations. Skill Practice Multiply and simplify.Write the answers as fractions. 2 6. 9 a 15 7. a 3 16 b b a4 Answers 6. 7. 1 10 6 5 Order of Operations Step 1 Perform all operations inside parentheses first. Step 2 Simplify any expressions containing exponents or square roots. Step 3 Perform multiplication or division in the order that they appear from left to right. Step 4 Perform addition or subtraction in the order that they appear from left to right. 9 b a6 5 b Avoiding Mistakes Simplifying factors can be done vertically and diagonally, but not horizontally.
miller_basic_college_math_3e_ch1_3
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