158 Chapter 2 Fractions and Mixed Numbers: Multiplication and Division 4 ft 3 4 5 4 ft 3 60. If the college has 3600 students, how many are Hispanic females (assume that one-half of the Hispanic student population is female)? 61. If the college has 3600 students, how many are Caucasian males (assume that one-half of the Caucasian student population is male)? Section 2.5 For Exercises 62 and 63, multiply. 62. 63. For Exercises 64–67, find the reciprocal of the number, if it exists. 64. 65. 7 66. 0 67. 68. Dividing by 5 is the same as multiplying by ___________. 69. Dividing by is the same as by . For Exercises 70–75, divide and simplify the answer to lowest terms. Write the answer as a fraction or whole number. 70. 71. 72. 73. 74. 75. For Exercises 76–79, simplify by using the order of operations. Write the answer as a fraction. 3 76. 77. 78. 79. 4 13 2 a1 2 3 2 b 81 55 3 11 3 2 a12 5 b 36 5 a 2 19 8 19 b 12 6 7 200 51 25 17 3 10 9 5 6 7 18 7 9 35 63 28 15 21 20 92 29 1 6 7 2 1 12 12 3 4 4 3 For Exercises 80 and 81, translate to a mathematical statement. Then simplify. 80. How much is of 20? 23 81. How many ’s are in 18? 2 3 82. How many -lb bags of candy can be filled from a 24-lb sack of candy? 4 5 83. Amelia worked only of her normal 40-hr workweek. If she makes $18 per hour, how much money did she earn for the week? 84. A small patio floor will be made from square 43 pieces of tile that are ft on a side. See the figure. Find the area of the patio (in square feet) if its dimensions are 10 tiles by 12 tiles. 85. Chuck is an elementary school teacher and needs 22 pieces of wood, ft long, for a class project. If he has a 9-ft board from which to cut the pieces, will he have enough -ft pieces for his class? Explain. Section 2.6 For Exercises 86–96, multiply or divide as indicated. 2 3 86. 87. 1 2 88. 89. 90. 91. 4 5 16 2 7 8 45 5 13 0 4 a5 5 8 6 1 b 3 13 a11 1 3 b a2 3 34 a3 b b a6 2 5 b 38 3 8
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