Operations on Mixed Numbers 16 Chapter 1 The Set of Real Numbers Subtract. Solution: Write the mixed numbers as improper fractions. Subtract the fractions. Skill Practice Subtract. 17. 2 3 4 1 1 3 37 12 or 3 1 12 64 12 27 12 16 4 3 4 9 3 4 3 16 3 9 4 5 1 3 2 1 4 5 1 3 2 1 4 Example 11 The LCD is 12. Multiply numerators and denominators by the missing factors from the denominators. TIP: An improper fraction can also be written as a mixed number. Both answers are acceptable. Note that This can easily be found by dividing. 3 1 12 3 12 37 36 1 37 12 37 12 36 12 1 12 3 1 12 , or 3 1 12 quotient remainder divisor Avoiding Mistakes Remember that when dividing (or multiplying) fractions, a common denominator is not necessary. Answer 17. 17 12 or 1 5 12 Operations on Mixed Numbers The answer may be written as an improper fraction or as a mixed number. Example 12 Divide. Solution: Write the mixed number and whole number as fractions. Multiply by the reciprocal of which is . 5 15 5 2 or 2 1 2 13 3 1, 2 1 31 15 2 3 1 7 1 2 3 7 1 2 3
miller_beginning_intermediate_algebra_4e_ch1_3
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