182 Chapter 3 Fractions and Mixed Numbers: Addition and Subtraction Example 4 7 2 15 5 48 2 2 3 2 3 5 7 12 12 2 2 3 15 3 5 48 2 2 2 2 3 ¶ 2 2 2 2 3 5 240. 7 12 2 52 2 2 3 12 2 52 140 240 32 240 25 240 140 32 25 7 12 2 15 2 2 2 2 3 5 48 2 2 2 2 3 5 240. 5 2 12 2 2 22 3 5 12 2 2 22 2 2 2 2 3 152 Applying the Order of Operations 133 240 240 Simplify. a1 4 2 3 2 b Example 5 Skill Practice Simplify. 6. a2 3 1 7 2 b Answers 5. 6. 121 441 4 45 Sometimes when denominators are large, it is helpful to write the denominators as a product of prime factors. This is demonstrated in Example 4. Adding and Subtracting Unlike Fractions Add or subtract as indicated. Solution: To find the LCD, factor each denominator. The LCD is We want to convert each fraction to an equivalent fraction having a denominator of Multiply numerator and denominator of each original fraction by the factors missing from the denominator. 5 152 The fractions are now like fractions. Add and subtract as indicated. 2. Order of Operations In Examples 5 and 6, we must apply the order of operations to simplify the expressions. Skill Practice Add or subtract as indicated. 5. 7 18 4 15 17 30 The prime factors of 240 are 2, 3, and 5. Using divisibility rules we can see that 133 is not divisible by 2, 3, or 5.Therefore, 133 240 is in lowest terms.
miller_basic_college_math_3e_ch1_3
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