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Business Math Unit Test 5

1. A proper fraction is when the numerator is greater than the denominator. 

FALSE



 
2. The writing of a whole number and a proper fraction is an improper fraction. 

FALSE



 
3. 4/5 is a proper fraction. 

TRUE



 
4. When a mixed number is converted to an improper fraction the new numerator is placed over the old denominator. 

TRUE

 

 
5. The greatest common divisor can be zero. 

FALSE

 

 
6. Inspection as well as the step approach could be used to find the least common denominator. 

TRUE

 

 
7. In the step approach the last divisor used is the greatest common divisor. 

TRUE



 
8. Fractions should never be reduced to their lowest terms. 

FALSE

 

 
9. The greatest common divisor and the least common denominator are really the same. 

FALSE

 

 
10. The least common denominator of fractions can be found by observation or by the use of prime numbers. 

TRUE

 

 
11. 4 is a prime number. 

FALSE

 


Multiple Choice Questions

 
18. 1 4/5 is an example of a(n): 

a. Proper fraction
B. Mixed number
c. Improper fraction
d. Complex fraction
e. None of these

 

 
19. 13/2 converted to mixed number is: 

a. 6 1/6
B. 6 1/2
c. 6 1/3
d. 6 3/4
e. None of these

 

 
20. The greatest common divisor of 20/30 is: 

a. 2
b. 5
c. 1
D. 10
e. None of these

 

 
21. The first step in using the step approach to finding the greatest common divisor is to: 

a. Use observation method
b. Divide larger number into smaller number
CDivide numerator into denominator
d. Divide remainder into divisor
e. None of these



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22. The first step in converting 30/50 = ?/200 to higher terms is to: 

a. Multiply 4 times 30
B. Divide 200 by 50
c. Divide 50 by 200
d. Multiply 200 times 30
e. None of these

 

 
23. 4/5 + 6/5 equals: 

a. 10/5
b. 5/1
C. 2
d. 100
e. None of these

 

 
24. In adding 4/5 + 18/100 the least common denominator is: 

a. 5
b. 20
c. 50
D100
e. None of these

 

25. Which of the following is not a prime number? 

a. 5
b. 11
c. 19
D. 24
e. None of these

 

26. The LCD of 6/20, 9/5, 7/50 and 3/4: 

a. 5
b. 4
c. 20
d. 50
ENone of these

 

 
27. Canceling: 

a. Raises fractions to highest terms
b. Results in multiplying a number evenly into the top and bottom of a fraction or fractions
c. Has a definite set of rules
D. Is an alternative method to reducing fractions to lowest terms
e. None of these



 
28. The reciprocal is used: 

a. In multiplying fractions
b. To replace the cancellation method
c. In dividing whole numbers
D. In dividing fractions
e. None of these

 

 
29. Which step is not included in the step approach to calculating the greatest common divisor: 

a. Divide small number into larger number
b. Divide remainder into divisor of last step
c. Continue dividing remainder into divisor till no remainder exist
D. Divide larger number into smaller number
e. None of these

 

30. To find LCD by prime numbers you should: 
a. Take numerators and arrange in a row
b. Divide numerators by highest prime number
c. Continue division until no prime number will divide into at least 3 numbers
D. Your first step should be to take denominators and arrange in a row
e. None of these

31. A trip to Portland, Oregon from Boston will take 7 3/4 hours. Assuming we are 2/3 of the way there,
how much longer in hours will the trip take? 
a. 7/12
b. 1 7/12
C. 2 7/12
d. 2 1/2
e. None of these

32. Shelley Tilton bought 1 3/4 lbs of sliced roast beef, 8 1/2 lbs of sliced ham and 3/4 lb of cole slaw at Albertson's Market.
What was the total weight of her purchases? 
A. 11 lbs
b. 10 lbs
c. 9 ½ lbs
d. 12 lbs
e. None of these

33. Joe Jackson worked 8 hours on Monday, 4 1/4 hours on Tuesday, 6 1/8 hours on Wednesday,
7 1/4 hours on Thursday, and 8 1/8 hours on Friday. Calculate the total number of hours Joe worked for the week. 
a. 35
b. 33 1/8
c. 32 3/4
D. 33 3/4
e. None of these

34. Cartons of humidifiers are stocked in 25,500 sq. ft. of warehouse space at Home Depot.
If each carton requires 4 1/4 sq. ft. of space, how many cartons can be stored in this space? 
a. 60
b. 600
C. 6,000
d. 60,000
e. None of these



35. At a local Subway, Jill Jones owns 1/4 of the company and Roger Moore 1/8. Bill Moore owns the rest.
What part is owned by Bill? 
a. 1/4
b. 1/8
c. 3/8
D. 5/8
e. None of these

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39. Lisa Wolf has 20 1/8 days of vacation per year at WalMart. To date she has taken 4 1/2 in January,
3 1/4 in February, and 4 1/8 days in March. How much more vacation time is Lisa entitled to? 
a. 9 1/4
b. 11 7/8
C. 8 1/4
d. 8 1/2
e. None of these

 
52. Indicate type of fraction: 3 4/7 
 
Mixed
 

 
53. Indicate type of fraction:  6/7 
 
Proper
 

54. Indicate type of fraction:
10/9 

Improper

55. Convert to a mixed number
89/6 

14 5/6

56. Convert to an improper fraction
14 1/8 

113/8

57. A. Find greatest common divisor and
B. Convert to lowest terms. For (A) use the step approach or the observation method.
18/66
A. 6

B. 3/11

58. Convert to higher terms
8/9 = 96/? 

108

59. Add (Reduce to lowest terms)
6/15 + 2/15 

8/15

60. Add (Reduce to lowest terms)
1/7 + 5/14 

7/14 = 1/2

61. Find LCD by using Prime Numbers (show work)
1/8 + 1/4 + 1/3 + 1/6 

24

62. Subtract (Reduce to lowest terms if necessary)
13 1/7    5 5/21 

7 19/21

63. Multiply (Cancel as needed)
11 3/8    6 6/7 

78

64. At Victor's grocery, each case of Cherrios takes up 3 1/2 square feet.
If Victor sets aside 6,930 square feet, how many cases of Cherrios can Victor store? 
1980

65. On a plane trip to Hawaii, the baggage weight projected was 2,182 1/4 lbs.
The actual weight of all bags totaled 2,095 1/3 lbs. By how much was the projected weight overstated? 
86 11/12 lbs.

66. Acme Track Incorporated received 360 pairs of Nike running shoes. Each pair sells for $58.
Acme found 1/9 of the pairs to be defective and returned them. Assuming each pair cost Acme $26,
what profit did Acme make assuming all non-defective sneakers were sold? 
$10,240

67. Last year sales at Mel's cinema totaled $144,600. This year sales should increase by 1/3.
How much should sales increase by and what will sales be in the New Year? 
$48,200; $192,800

68. Indicate type of fraction:
3 3/4 

Mixed

69. Indicate type of fraction:
5/6 

Proper

70. Indicate type of fraction:
10/9 

Improper

72. Convert to an improper fraction 9 1/8 

73/8
 

73. Calculate greatest common divisor by step approach and reduce to lowest terms 180/440 

9/22
 

74. Convert to higher terms 7/19 = ?/114 
114    19 = 6; 6    7 =
 
42
 

75. Find LCD by using prime numbers (show work) 1/2 + 1/6 + 1/8 + 1/4 
 
24
 

 
76. 5/9    5 
 
1/9

 

 
77. At Flynn Manufacturing, 30 ¼ rolls of tape are made each hour on a new high speed machine.
If the machine runs 12 hours, how many rolls of tape will be produced? 
 
363 rolls of tape
 

 
78. At Kentucky Fried chicken, a survey showed 2/3 of all people preferred skinless chicken over the regular chicken.
If 2,400 people responded to the survey, how many preferred regular chicken? 

800
 

79. At United Airlines, Pete Roy worked 8 3/4 hours on Monday, 4 1/2 hours on Tuesday, 9 1/4 hours on Wednesday,
10 1/2 hours on Thursday and 7 hours on Friday. How many total hours did Pete work during the week? 

40 hours
 

 
80. The Red Sox announced that their $50 box seats will increase next year by 1/5.
What will be the new ticket price? 

$60.00

 
81. Indicate type of fraction: 3 1/8 
 
Mixed
 

82. Indicate type of fraction: 6/7 
 
Proper

 

83. Indicate type of fraction: 12/11 
 
Improper
 

84. Indicate type of fraction: 5/6 
 
Proper
 

85. Indicate type of fraction: 15/14 
 
Improper
 

86. Indicate type of fraction: 12 9/10 
 
Mixed
 

 
87. Convert to a mixed number: 88/7 
 
12 4/7
 

 
88. Convert to a mixed number: 77/3 
 
25 2/3
 

 
89. Convert to an improper faction: 12 1/7 
 
85/7
 

90.
A. Find greatest common divisor and
B. Convert to lowest terms. For (A) use the step approach or the observation method.


90/320 

 

91. Convert to an improper fraction 11 1/9 
 
100/9
 

92. A. Find greatest common divisor and
B. Convert to lowest terms. For (A) use the step approach or the observation method.


12/96 

 

 
93. 8/9 = 72/? 
 
81
 

94. 3/4 = 36/?
 
36/48

 

 
95. Add (Reduce to lowest terms):
4/15 + 1/15 

1/3; 5/15 =
1/3


 
96. Add (Reduce to lowest terms):  2/7 + 3/14 1/2; 4/14 + 3/14 = 7/14 =
 
½
 

97. Add (Reduce to lowest terms):  3/7 + 1/21 
 
10/21
 

 
98. Add (Reduce to lowest terms):  4/7 + 13/14 
 
1 1/2
 

99. Find LCD by using Prime Numbers (show work):
1/2 + 1/5 + 1/4 + 1/20 

 
20

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