Fractions Verified Test Bank Chapter.2

Chapter 02

Fractions

True/False Questions
 

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

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

3. 4/5 is a proper fraction. 
True    False

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

5. The greatest common divisor can be zero. 
True    False

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

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

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

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

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

11. 4 is a prime number. 
True    False

12. 2, 5, 7, 11, and 13 are all examples of prime numbers. 
True    False

13. Cancellation is a technique to reduce fractions to the lowest terms. 
True    False

14. The reciprocal is not used in dividing fractions. 
True    False

15. Reducing a fraction to the lowest terms does not change the fraction's value. 
True    False

16. Raising a fraction to higher terms does change the value of the fraction. 
True    False

17. A mixed number is a whole number and a proper fraction. 
True    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 a 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 the observation method
B. Divide the larger number into the smaller number
C. Divide the numerator into the denominator
D. Divide the remainder into the divisor
E. None of these

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
D. 100
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 is: 
A. 5
B. 4
C. 20
D. 50
E. None of these

27. Canceling: 
A. Raises fractions to the 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 the 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 exists
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 three 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 two-thirds 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 coleslaw 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 owns 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

36. Matt Kaminsky bought a Volvo that is 3 3/4 times as expensive as the car his parents bought. If his parents paid $8,000 for theirs, what is the cost of Matt's car? 
A. $26,000
B. $28,000
C. $29,000
D. $30,000
E. None of these

37. The price of a new Apple iPod has increased by 1/4. If the original price of the Apple was $200, what is the price today? 
A. $150
B. $250
C. $200
D. $175
E. None of these

38. The price of a Panasonic 3D flat screen television decreased by 1/5. If the original price was $1,500, what is the price today? 
A. $300
B. $1,200
C. $1,800
D. $1,000
E. None of these

 I believe the new price is right as it is a change from the original price.

39. Lisa Wolf has 20 1/8 days of vacation per year at Walmart. To date she has taken 4 1/2 days in January, 3 1/4 days 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

40. A machine at Staples photocopies 12 ¼ pages per minute. If the machine runs 700 minutes, how many pages will be photocopied? 
A. 8,750
B. 7,850
C. 5,875
D. 8,575
E. None of these

41. Jeff Jones is paid $60 per day at his Job at J.C. Penney. Jeff became ill on Monday and had to leave after 2/5 of a day. What did he earn on Monday? (Assume no work, no pay) 
A. $24
B. $36
C. $30
D. $25
E. None of these

42. The price of a baseball ticket at Yankee Stadium increased by 2 1/4 over the last three years. If the original price of a ticket was $60, what is the price of the ticket today? 
A. $195
B. $150
C. $135
D. $153
E. None of these

43. Alice Hall, who loves to cook, makes an apple cake (serves six) for her family. The recipe calls for 2 1/2 pounds of apples, 2 1/4 cups of flour, 1/5 cup of margarine, 1 1/4 cups of sugar, and 4 eggs. Since guests are coming, she would like to make this cake so it will serve 24. How many pounds of apples should she use? 
A. 10
B. 15
C. 17 1/2
D. 10 1/4
E. None of these

44. In a recent local taste contest testing Coke against Pepsi, it was found that 3/5 of all people surveyed preferred the taste of Coke. If 7,500 people were in the survey, how many chose Pepsi? 
A. 4,500
B. 5,400
C. 3,500
D. 3,000
E. None of these

45. The price of a $200,000 home listed by REMAX was reduced by 1/20. What is the new price? 
A. $180,000
B. $190,000
C. $170,000
D. $160,000
E. None of these

46. Mia Wong bought a new Bose radio for $280. Bill, a friend of Mia's, can afford to pay only ¾ as much as Mia. What is the most Bill could pay for the radio? 
A. $70
B. $210
C. $200
D. $190
E. None of these

47. Jane Ring cut a 6-ft Subway sandwich into 1 ½-ft sandwiches. How many sandwiches can be cut from the 6-ft. sub? 
A. 6
B. 8
C. 5
D. 10
E. None of these

48. The price of a Swatch watch increased 1 3/4 times from the price last year. If this year's price is $175, what was last year's price? 
A. $75
B. $100
C. $60
D. $90
E. None of these

49. An American Airlines trip from Boston to Los Angeles takes 8 ½ hours. Assuming we are ¼ of the way, how long has the trip taken so far? 
A. 1 1/16
B. 7 7/16
C. 2 1/10
D. 6 7/16
E. None of these

50. Lee Wine bought pizza from Pizza Hut for her son's party. The owner of the store said it would feed eight. Assuming six children show up for the party, what part of the pizza remains uneaten? 
A. 1/4
B. 3/4
C. 1/3
D. 4/5
E. None of these

51. The greatest common divisor of 60/216 is:

A. 2

B. 12

C. 10

D. 5

E. None of these

52. The LCD for 3/10, 20/25, and 18/75 is:

A. 5

B. 15

C. 25

D. 7

E. None of these

53. Jordan traveled 6/7 of an estimated 1,800-mile trip. How many miles remain in her trip:

A. 154

B. 257

C. 291

D. 400

E. None of these

54. The cost of a regular-price ticket to a Saint Louis Cardinal baseball game was $60. During the World Series the price increased by 2/5. What did the fans pay?

A. $65

B. $69

C. $80

D. $84

E. None of these

55. The average number of students for Professor Shannon’s finance class was 20. During the fall semester there was an increase of 3/5 in students. How many students are registered for his class in the fall?

A. 32

B. 24

C. 30

D. 26

E. None of these

Short Answer Questions
 

56. 1. Cancellation.
2. Denominator.
3. Fraction.
4. Greatest common divisor.
5. Higher terms.
6. Improper fraction.
7. Least common denominator (LCD).
8. Lowest terms.
9. Mixed numbers.
10. Numerator.
11. Prime numbers.
12. Proper fractions.
13. Reciprocal.
A. Largest possible number.
B. No number divides evenly except 1 into numerator.
C. Expresses a part of a whole number.
D. Whole number and a proper fraction.
E. Top of fraction.
F. Equivalent to the original.
G. Numerator less than denominator.
H. Reducing process.
I. Interchanging denominator and numerator.
J. Smallest whole number.
K. Numerator is equal to or greater than the denominator.
L. Number divisible by itself and 1.
M. Bottom part of fraction. 

57. Indicate type of fraction:
3 4/7 

58. Indicate type of fraction:
6/7 

59.  Indicate type of fraction:
10/9 

60. Convert to a mixed number:
89/6 

61. Convert to an improper fraction:
14 1/8 

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

63. Convert to higher terms:
8/9 = 96/? 

64. Add (reduce to lowest terms):
6/15 + 2/15 

65. Add (reduce to lowest terms):
1/7 + 5/14 

66. Find LCD by using prime numbers (show work):
1/8 + 1/4 + 1/3 + 1/6 

67. Subtract (reduce to lowest terms if necessary):
13 1/7 – 5 5/21 

68. Multiply (cancel as needed):
11 3/8 × 6 6/7 

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

70. 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? 

71. 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 nondefective sneakers were sold? 

72. Last year’s sales at Mel's cinema totaled $144,600. This year’s sales should increase by 1/3. How much should sales increase by, and what will sales be in the new year? 

73. Indicate type of fraction:
3 ¾ 

74. Indicate type of fraction:
5/6 

75. Indicate type of fraction:
10/9 

76. Convert to a mixed number:
113/6 

77. Convert to an improper fraction:
9 1/8 

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

79. Convert to higher terms:
7/19 = ?/114 

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

81. 5/9 ÷ 5 =

82. 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? 

83. 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? 

84. 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? 

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

86. Indicate type of fraction:
3 1/8 

87. Indicate type of fraction:
6/7 

88. Indicate type of fraction:
12/11 

89. Indicate type of fraction:
5/6 

90. Indicate type of fraction:
15/14 

91. Indicate type of fraction:
12 9/10 

92. Convert to a mixed number:
88/7 

93. Convert to a mixed number:
77/3 

94. Convert to an improper faction:
12 1/7 

95. A. Find greatest common divisor and B. Convert to lowest terms. For (A) use the step approach or the observation method:
90/320 

96. Convert to an improper fraction:
11 1/9 

97. A. Find greatest common divisor and B. Convert to lowest terms. For (A) use the step approach or the observation method:
12/96 

98. 8/9 = 72/? 

99. 3/4 = 36/? 

100. Add (reduce to lowest terms):
4/15 + 1/15 

101. Add (reduce to lowest terms):
2/7 + 3/14 

102. Add (reduce to lowest terms):
3/7 + 1/21 

103. Add (reduce to lowest terms):
4/7 + 13/14 

104. Find LCD by using prime numbers (show work):
1/2 + 1/5 + 1/4 + 1/20 

105. Find LCD by using prime numbers (show work):
1/3 + 1/4 + 1/6 + 1/8 

106. Subtract (reduce to lowest terms if necessary):
   

107. Subtract (reduce to lowest terms if necessary):
   

108. Multiply (cancel as needed and express final answer as a mixed number):
12 3/8 × 7 1/6 

109. John Morse worked 8 1/2 hours on Monday, 2 3/4 hours on Tuesday, 7 1/2 hours on Wednesday, 7 1/4 hours on Thursday, and 8 hours on Friday. Calculate the total number of hours John worked for the week. 

110 Al, Ronda, and Rony enter into a partnership. Al owns 1/4 of the company, and Ronda owns 1/8. Calculate the part that is owned by Rony. 

111. Hilton Hotels announced a price decrease of 1/10 from its $290 weekend package. What is the new weekend package rate? 

112. Bill Murray has 16 3/4 days of vacation per year. To date, he has taken 1 3/4 days in January, 4 2/3 days in February, and 2 1/6 days in March. How much more vacation time is Bill entitled to? 

113. A trip to New York from Boston will take 4 1/2 hours. Assuming we are two-thirds of the way there, how much longer will the trip take? 

114. The price of a new car increased by 2/3 over the last five years. If the original price of the car was $6,000, what is the price today? 

115. Mel Corp. produces 18¼ widgets each hour. If the machine runs 16 hours, how many widgets will be produced? 

116. Cans of soup are stocked in 1,250 sq. ft. of warehouse space. If each can requires 2 1/2 sq. ft. of space, how many cans of soup can be stored in this space? 

117. John Rone bought a home that is 5 1/2 times as expensive as the home his parents bought. If his parents paid $35,000 for theirs, what is the cost of Rone's home? 

118. In a recent taste testing survey, it was found that 5/7 of all people surveyed preferred the taste of "A" chicken over "B" chicken. If 3,500 people were in the survey, how many favored "A"? What is the number of people who chose "B"? 
 

119. Convert to an improper fraction:

16 3/8

120. Indicate what type of fraction:

12 4/7

121. Complete:

10 1/8 divided by 3/8

122. At Truman Middle School 2/3 of the girls preferred playing capture the flag at gym. If 600 girls responded to the survey, how many preferred playing something else?

123. Reduce the following to the lowest terms:

162/567