EXAMPLE 7 Add or subtract by changing the mixed numbers to improper fractions. a) 1 5 6 4 2 3 b) 3 1 4 2 6 7 Solution a) 1 5 6 4 2 3 11 6 14 3 Write the mixed numbers as improper fractions. Multiply 14 3 by 2 2 to get a common denominator. Add. Divide numerator and denominator by 3 to write in lowest terms. Write the result as a mixed number. 11 6 28 6 39 6 13 2 6 1 2 b) 3 1 4 2 6 7 13 4 20 7 Write the mixed numbers as improper fractions. Write each fraction with the LCD of 28. Subtract. 91 28 80 28 11 28 YOU TRY 7 Add or subtract by changing the mixed numbers to improper fractions. a) 3 2 9 4 1 6 b) 7 1 2 2 3 5 Note If we use this method for adding and subtracting mixed numbers, we do not have to use regrouping. ANSWERS TO YOU TRY EXERCISES 1) a) 13 29 35 b) 5 1 10 2) 7 3 5 3) 15 13 28 4) 4 7 6 5) 8 15 6) 3 5 11 7) a) 7 7 18 b) 4 9 10 www.mhhe.com/messersmith SECTION 4.5 Adding and Subtracting Mixed Numbers 263
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