Note We can subtract fractions only if they are like fractions. The way that we subtract fractions is very similar to the way we add fractions. Recall that the result of a subtraction problem is called the difference. Procedure Subtracting Like Fractions To subtract like fractions: 1) Subtract the numerators. 2) Use the denominator of the like fractions as the denominator of the difference. 3) Write the answer in lowest terms. Subtract. a) 7 10 3 10 b) 20 7 6 7 Solution a) 7 10 and 3 10 are like fractions, so we can subtract them. 7 10 3 10 7 3 10 4 10 Subtract the numerators, and keep the denominator the same. Ask yourself, “Is 4 10 in lowest terms?” No! Write 4 10 in lowest terms. 4 10 4 2 10 2 2 5 7 10 3 10 4 10 2 5 b) 20 7 and 6 7 are like fractions, so we can subtract them. 20 7 6 7 20 6 7 14 7 Subtract the numerators, and keep the denominator the same. Ask yourself, “Is 14 7 in lowest terms?” No! We will write it in lowest terms. 14 7 14 7 7 7 2 1 2 20 7 6 7 14 7 2 EXAMPLE 3 After you add or subtract fractions, what should you ask yourself before you identify your final answer? 226 CHAPTER 4 Adding and Subtracting Fractions www.mhhe.com/messersmith
messersmith_power_basic_college_1e_ch4_7_10
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