Note If a sum or difference is an improper fraction, the answer can be written as either an improper fraction or as a mixed number. 4.1 Exercises Do the exercises, and check your work. Objective 1: Use a Figure and a Number Line to Add Fractions Add the like fractions. First, shade the fi gures appropriately to represent each fraction and the resulting sum. Then, use a number line to demonstrate the operation. 1) 3 6 2 6 1 5 0 1 1 6 2 6 3 6 4 6 5 6 2) 1 8 6 8 1 5 0 1 1 8 2 8 3 8 4 8 5 8 6 8 7 8 3) 1 5 2 5 1 5 0 1 1 5 2 5 3 5 4 5 4) 2 5 2 5 1 5 0 1 1 5 2 5 3 5 4 5 5) 4 8 4 8 1 5 0 1 1 8 2 8 3 8 4 8 5 8 6 8 7 8 6) 3 6 3 6 1 5 0 1 1 6 2 6 3 6 4 6 5 6 7) 6 8 1 8 1 5 0 1 1 8 2 8 3 8 4 8 5 8 6 8 7 8 8) 3 8 2 8 1 5 0 1 1 8 2 8 3 8 4 8 5 8 6 8 7 8 9) What is the difference between like and unlike fractions? 10) Look at Exercises 1–8. Explain, in your own words, how to add like fractions. Objective 2: Add Like Fractions 11) After adding fractions, you should look at your answer and ask yourself what question? 12) When Khinsi adds 1 10 3 10 , she writes down 4 10 as her fi nal answer. Is this correct? Why or why not? YOU TRY 3 Subtract. a) 17 18 5 18 b) 21 4 13 4 ANSWERS TO YOU TRY EXERCISES 1) 5 7 ; Figures may vary. 2) a) 10 11 b) 3 4 c) 23 12 or 1 11 12 3) a) 2 3 b) 2 www.mhhe.com/messersmith SECTION 4.1 Adding and Subtracting Like Fractions 227
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