Chapter 4: Review Exercises (4.1) Add the like fractions. First shade the figures appropriately to represent each fraction and the resulting sum. Then use a number line to demonstrate the operation. 1) 2 5 3 5 1 5 0 1 1 5 2 5 3 5 4 5 2) 3 8 4 8 1 5 0 1 1 8 2 8 3 8 4 8 5 8 6 8 7 8 3) 1 6 2 6 1 5 0 1 1 6 2 6 3 6 4 6 5 6 4) 1 5 2 5 1 5 0 1 1 5 2 5 3 5 4 5 Add or subtract. 5) 4 13 7 13 6) 1 9 4 9 7) 7 15 4 15 8) 17 18 11 18 9) 13 30 17 30 10) 27 28 3 28 (4.2) Find the least common multiple of each group of numbers. 11) 3, 6, and 8 12) 2, 4, and 7 13) 3, 5, and 20 14) 3, 12, and 18 Find the LCM of each group of numbers using prime factorization. 15) 4, 9, and 12 16) 5, 8, and 10 17) 15 and 24 18) 16 and 28 (4.3) 19) Why does multiplying 4 7 by 5 5 result in a fraction, 20 35 , that is equivalent to 4 7 ? 20) Explain, in words, how to write 8 9 as an equivalent fraction with a denominator of 63. 21) Write 3 8 as an equivalent fraction with a denominator of 24. 22) Write 5 7 as an equivalent fraction with a denominator of 84. For each group of fractions, identify the least common denominator. Next, write each fraction as an equivalent fraction with the LCD as its denominator. 23) 5 6 and 3 10 24) 3 8 and 5 12 25) 1 4 , 2 9 , and 7 6 26) 4 5 , 7 8 , and 3 20 27) 5 24 and 9 28 28) 13 28 and 7 36 (4.4) 29) Casimir computes the following sum: 5 11 4 9 9 20 . Is the answer right or wrong? Explain your answer. 30) Explain, in your own words, how to subtract fractions with unlike denominators. Add or subtract, as indicated. 31) 4 5 3 10 32) 5 6 1 3 33) 5 12 4 7 34) 5 8 1 9 35) 9 11 3 8 36) 9 7 7 8 37) 5 6 1 8 7 12 38) 7 10 7 20 7 8 39) 1 4 15 40) 2 2 3 41) 7 2 9 42) 1 3 4 Solve each problem. 43) At the beginning of Salomeh’s school day, her cell phone battery was charged to 3 4 capacity. At the end of the day, the battery was charged to 1 5 capacity. What fraction of the battery capacity was used during the day? 44) Crista sees a pair of leather boots on sale for 1 4 off the regular price. She also has a coupon that gives her an additional discount equal to 1 10 the regular price. What fraction of the regular price will Crista have to pay for the boots? 286 CHAPTER 4 Adding and Subtracting Fractions www.mhhe.com/messersmith
messersmith_power_basic_college_1e_ch4_7_10
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