Page 264 - Basic College Mathematics with Early Integers

S E C T I O N 3.6 I COMPLEX FRACTIONS, ORDER OF OPERATIONS, AND MIXED NUMBERS 241

Objective Write each mixed number as an improper fraction. See Example 8.

1 13 3 5
55. 2 56. 1 57. 3 58. 2
3 17 5 9

5 3 6 2
59. 6 60. 7 61. 11 62. 12
8 8 7 5

7 14 2 2
63. 9 64. 10 65. 166 66. 114
20 27 3 7

Objective Write each improper fraction as a mixed number or a whole number. See Example 9.

17 13 37 64
67. 68. 69. 70.
5 7 8 9

47 65 225 196
71. 72. 73. 74.
15 12 15 14

182 149 737 901
75. 76. 77. 78.
175 143 112 123

Review

Perform each indicated operation. If the result is an improper fraction, also write the improper fraction as a mixed
number. See Section 3.5.

1 2 5 1
79. 3 + 80. 2 + 81. 9 - 82. 4 -
2 3 6 5

Concept Extensions

83. In your own words, explain how to write an 84. In your own words, explain how to write a mixed
improper fraction as a mixed number. number as an improper fraction.

2 3 2 3 1 2 3 2 1 3 2
85. Calculate and a b . Do both of these expressions 86. Calculate a b # a b and a # b . Do both of these
3 3 2 4 2 4
simplify to the same number? Explain why or why expressions simplify to the same number? Explain
not. why or why not.

1 3
Recall that to find the average of two numbers, we find their sum and divide by 2. For example, the average of and is
2 4
1 3
+
2 4
. Find the average of each pair of numbers.
2
1 3 3 9 1 2 5 7
87. , 88. , 89. , 90. ,
2 4 5 10 4 14 6 9