Is 4 23 18 in simplest form? No! YOU TRY 3 Add 5 3 4 9 5 7 . 23 18 is an improper fraction. Simplify 4 23 18 by regrouping. 4 23 18 4 23 18 4 1 5 18 5 5 18 Change to a mixed number. Note When adding mixed numbers, always look at the result and ask yourself, “Is it in simplest form?” If it is not, write it in simplest form. As always, the result must also be in lowest terms. 3 Subtract Mixed Numbers with Regrouping Now let’s learn about the type of regrouping, or borrowing, we need to use to subtract some mixed numbers. EXAMPLE 4 Rewrite 7 2 3 as a mixed number with an improper fractional part. Solution To rewrite the fractional part as an improper fraction, we will regroup, or borrow, 1 from the whole-number part and add it to the fractional part. 7 2 3 Rewrite 7 as 6 1. 7 2 3 r 6 1 2 3 6 3 3 2 3 6 5 3 Therefore, 7 2 3 6 5 3 . Get a common denominator for 1 and 2 3 . Write a procedure for regrouping mixed numbers in this way. YOU TRY 4 Rewrite 5 1 6 as a mixed number with an improper fractional part. 260 CHAPTER 4 Adding and Subtracting Fractions www.mhhe.com/messersmith
messersmith_power_basic_college_1e_ch4_7_10
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