212 Chapter 3 Fractions and Mixed Numbers: Addition and Subtraction 8 52 30 8 1 22 30 9 11 15 Section 3.3 Addition and Subtraction of Unlike Fractions Key Concepts To add or subtract unlike fractions, first we must write each fraction as an equivalent fraction with a common denominator. Steps to Add or Subtract Unlike Fractions 1. Identify the LCD. 2. Write each individual fraction as an equivalent fraction with the LCD. 3. Add or subtract the resulting fractions as indicated. 4. Simplify to lowest terms, if possible. Examples Example 1 Simplify. The LCD = 30. 59 30 42 9 26 30 42 30 9 30 26 30 7 6 5 6 3 3 10 3 13 2 15 2 7 5 3 10 13 15 Section 3.4 Addition and Subtraction of Mixed Numbers Key Concepts Addition of Mixed Numbers To find the sum of two or more mixed numbers, add the whole-number parts and add the fractional parts. Subtraction of Mixed Numbers To subtract mixed numbers, subtract the fractional parts and subtract the whole-number parts. When the fractional part in the subtrahend is larger than the fractional part in the minuend, we borrow from the whole number part of the minuend. We can also add or subtract mixed numbers by writing the numbers as improper fractions.Then add or subtract the fractions. Examples Example 1 Example 2 1 16 4 Example 3 Example 4 8 12 3 Example 5 78 16 33 16 52 16 510 59 16 8 10 3 3 11 16 4 7 8 2 1 16 3 1 4 39 8 33 16 13 4 7 1 2 7 6 5 10 6 15 10 3 4 5 3 8 10 3 7 10 5 3 4 5 9 12 2 2 3 2 1 12 2 9 10 2 27 30 6 5 6 6 25 30 3 5 8 3 10 16 1 1 16 1 11 16
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