Section 3.4 Addition and Subtraction of Mixed Numbers 191 Adding Mixed Numbers by Using Improper Fractions Add. Solution: Convert the fractions to like fractions. The LCD is 30. The fractions are now like fractions. Add the like fractions. Convert the improper fraction to a mixed number. The mixed number is the same as the value obtained in Example 3. 2. Subtraction of Mixed Numbers To subtract mixed numbers, we subtract the fractional parts and subtract the whole-number parts. Subtracting Mixed Numbers Estimate the difference and then find the actual difference. 15 2 3 4 1 6 Solution: To estimate the difference, first round to the nearest whole number. 15 2 3 rounds to 16 4 1 6 rounds to 4 12 The estimated value is 12. Example 5 1113 30 1113 30 11 30343 30 43 30 13 11 13 30 343 30 235 30 108 30 47 5 6 5 18 6 5 6 47 6 18 5 7 5 6 3 3 5 7 5 6 3 3 5 Example 4 Skill Practice Add the mixed numbers by first converting the addends to improper fractions.Write the answer as a mixed number. 5. 12 Answers 5. 6. 4 5 12 17 1 12 1 3 4 3 4 Write each mixed number as an improper fraction. and 3 3 5 3 5 3 5 18 5 7 5 6 7 6 5 6 47 6 Skill Practice Subtract. 6. 6 3 4 2 1 3
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