and Yahoo! search requests among the top 10 U.S. providers. (http://en-us.nielsen.com/content/nielsen/en_us/ insights/rankings/internet.html) 30. Senators in Class III took office in 2005 and their terms expired in 2011. With a total of 34 senators in Class III, 16 are Democrats and 18 are Republicans. Write fractions that represent the portion of Democrats and the portion of Republicans in Class III. (http://www.senate.gov) Simplify each fraction. (See Objective 3.) 31. 8 24 32. 12 60 33. 64 8 34. 70 35 35. 192,000 256,000 36. 126,000 432,000 Multiply the fractions and simplify each result. (See Objective 4.) 37. 1 2 · 3 5 38. 4 7 · 2 11 39. 2 3 · 9 28 40. 4 15 · 5 24 41. 3 5 · 5 3 42. 11 10 · 10 11 43. 5 4 · 20 44. 12 · 3 2 45. 2 2 3 · 3 3 4 46. 3 1 2 · 1 1 7 Divide the fractions and simplify each result. (See Objective 5.) 47. 1 2 ÷ 3 5 48. 4 7 ÷ 2 11 49. 2 3 ÷ 9 28 50. 7 15 ÷ 14 36 51. 1 3 ÷ 3 52. 7 ÷ 1 7 53. 20 ÷ 5 4 54. 12 ÷ 3 5 55. 6 2 3 ÷ 1 1 9 56. 7 1 2 ÷ 2 1 2 Add or subtract the fractions and simplify each result. (See Objective 6.) 57. 1 2 + 7 2 58. 2 3 + 10 3 59. 3 7 + 1 7 60. 5 10 + 1 10 61. 9 10 - 1 10 62. 5 12 - 3 12 63. 7 3 4 + 1 3 4 64. 6 1 5 - 3 4 5 Find the least common denominator (LCD) of the fractions. (See Objective 7.) 65. 2 3 , 3 4 66. 1 5 , 1 2 67. 5 8 , 1 2 68. 3 5 , 7 20 69. 3 18 , 4 27 70. 5 6 , 2 21 71. 1 2 , 8 72. 4 7 , 5 Add or subtract the fractions and simplify each result. (See Objective 7.) 73. 1 2 + 1 7 74. 1 4 + 1 5 75. 3 8 + 4 76. 6 11 + 2 77. 7 2 - 7 3 78. 6 4 - 6 5 79. 5 - 1 2 80. 4 - 2 3 81. 3 14 - 1 12 82. 4 10 - 2 15 83. 2 1 6 + 3 2 3 84. 6 1 4 - 3 1 2 Mix ’Em Up! Simplify each fraction. 85. 243 405 86. 11400 60800 87. 336 384 88. 144 464 Perform the operation and simplify each result. 89. 4 15 + 13 30 90. 1 3 + 5 12 91. 4 1 5 · 1 5 7 92. 3 3 10 · 1 2 3 93. 5 3 - 1 5 94. 7 2 - 1 3 95. 6 7 8 ÷ 2 3 4 96. 1 2 7 ÷ 6 3 7 97. 9 1 4 - 6 2 3 98. 7 2 5 + 8 4 5 99. 5 18 · 2 15 100. 2 3 · 21 16 101. 10 2 5 - 8 4 5 102. 2 5 6 - 1 7 8 You Be the Teacher! Correct each student’s errors, if any. 103. Find the numerator that makes the fractions equivalent: 3 8 = 16 . Mary’s work: 3 = 8 3 + 8 8 + 8 = 11 16 . So, 3 8 = 11 16 . 104. Multiply and simplify the result: 2 5 3 3 10 . Jennifer’s work: 2 3 3 = 5 10 2 3 2 5 3 2 · 3 10 = 4 10 · 3 10 = 12 10 = 2 3 6 2 3 5 = 6 5 26 Chapter 1 Real Numbers and Algebraic Expressions
hendricks_beginning_algebra_1e_ch1_3
To see the actual publication please follow the link above