Section 3.3 Addition and Subtraction of Unlike Fractions 183 Answer 7. 1 2 2 4 3 4 2 b 2 b Applying the Order of Operations a1 4 2 3 2 b a1 3 4 3 a 3 12 a11 Simplify. 12 11 12 2 b 121 144 Solution: Perform the division before the subtraction. To divide fractions, multiply by the reciprocal of the divisor. To subtract, we need the LCD of 12. Multiply numerator and denominator by 2 because The fractions are now like fractions. Subtract. Simplify to lowest terms. 1 4 3 1 12 4 3 12 5 12 11 12 5 12 8 12 2 12 6 2 12. 5 12 1 2 6 2 5 12 1 6 5 12 1 42 2 1 3 5 12 1 4 3 2 1 4 3 2 Example 6 Skill Practice Simplify. 7. 4 15 2 5 1 6 Solution: Perform the operation within parentheses first. The common denominator is 12. The fractions within parentheses are now like fractions. Add fractions within parentheses. To square a number, multiply the number by itself. The fraction is in lowest terms.
miller_basic_college_math_3e_ch1_3
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