144 Chapter 2 Fractions and Mixed Numbers: Multiplication and Division Multiplying Mixed Numbers Example 2 Multiply and write the answer as a mixed number or whole number. 1 2 2 3 25 b a. 4 b. Solution: a. 12 a8 7 9 Write each mixed number as an improper fraction. Simplify. Multiply. 25 1 2 4 12 a8 2 3 7 9 51 2 17 51 21 119 1 119 b 12 1 14 3 7 14 31 79 9 12 b. Write the whole number and mixed number as improper fractions. Simplify. Multiply. Write the improper fraction as a mixed number. 105 3316 3 16 15 1 4 12 1 316 3 105 79 1 3 93 2. Division of Mixed Numbers To divide mixed numbers, we use the following steps. Dividing Mixed Numbers Step 1 Change each mixed number to an improper fraction. Step 2 Divide the improper fractions and simplify to lowest terms, if possible. Recall that to divide fractions, we multiply the dividend by the reciprocal of the divisor (see Section 2.5). Answers greater than 1 may be written as an improper fraction or as a mixed number, depending on the directions of the problem. Skill Practice Multiply and write the answer as a mixed number or whole number. 2. Answers 2. 60 3. 71 2 3 3. 7 1 6 10 16 1 2 3 7 11 Avoiding Mistakes Do not try to multiply mixed numbers by multiplying the wholenumber parts and multiplying the fractional parts. You will not get the correct answer. For the expression , it would be incorrect to multiply (25)(4) and Notice that these values do not equal 119. 12 23 . 25 4 23
miller_basic_college_math_3e_ch1_3
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