Definition/Procedure Example Step 2: Make a plan. Let’s underline important words in our restatement of the problem in Step 1, draw a picture, and label the sides. 7 yd 8 2 yd 5 2 yd 5 7 yd 8 The perimeter of a fi gure is the distance around the fi gure. Plan: Add the lengths of all the sides to fi nd the perimeter. Step 3: Solve the problem. 7 7 2 2 14 8 8 5 5 8 4 5 Add the lengths, and add the widths. 70 40 32 40 Rewrite each fraction with the LCD. 102 40 Add. 51 20 Divide the numerator and denominator by 2. 2 11 20 Write the improper fraction as a mixed number. Step 4: State the answer in a complete sentence. The perimeter of the window is 2 11 20 yd. Step 5: Check the answer. Double-check your work to verify that the answer is correct. 4.5 Adding and Subtracting Mixed Numbers Adding Mixed Numbers To add mixed numbers, add the whole-number parts and add the fractional parts. Write the answer in lowest terms. (p. 257) Subtracting Mixed Numbers To subtract mixed numbers, subtract the whole-number parts and subtract the fractional parts. Write the answer in lowest terms. (p. 258) Add or subtract. a) 4 1 12 5 4 9 b) 8 1 2 6 3 8 a) First, rewrite each fraction with the LCD, 36. Then, add the whole-number parts and add the fractional parts. 4 1 12 5 4 9 4 3 36 5 16 36 Write each fraction with the LCD. 9 19 36 Add the whole numbers, and add the fractions. b) The LCD is 8, so rewrite 1 2 with a denominator of 8. Then, subtract the whole-number parts and subtract the fractional parts. 8 1 2 6 3 8 8 4 8 6 3 8 Write each fraction with the LCD. 2 1 8 Subtract the whole numbers, and subtract the fractions. www.mhhe.com/messersmith CHAPTER 4 Summary 283
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