Section 3.3 Addition and Subtraction of Unlike Fractions 181 Adding Unlike Fractions Example 2 Add. 3 10 Solution: The LCD is 10.We must convert to an equivalent fraction with 10 as the denominator. Multiply numerator and denominator by 2 because The fractions are now like. Add the like fractions. Simplify to lowest terms. 1 2 5 1 10 2 5 10 3 2 10 3 10 2 10 5 2 10. 3 10 1 2 5 2 15 3 10 1 5 1 5 Subtracting Unlike Fractions Subtract. Solution: The LCD is 30. Write the fractions as equivalent fractions with the LCD. Subtract. Simplify to lowest terms. 1 6 5 1 30 6 5 30 8 3 30 8 30 3 30 4 2 15 2 1 3 10 3 4 15 1 10 4 15 1 10 Example 3 Skill Practice Add. 3. Answers 3. 4. 11 24 5 2 9 5 7 10 Skill Practice Subtract. 4. 7 12 1 8 Avoiding Mistakes Do not confuse addition and subtraction of fractions with multiplication of fractions. In multiplication, we multiply denominators. In addition we do not add denominators.We get a common denominator and then add only the numerators.
miller_basic_college_math_3e_ch1_3
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