Deck 2: Fractions

Question 1

The greatest common divisor of 20/30 is:

A)2
B)5
C)1
D)10
E)None of these

Answer 1

D

Question 2

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

Answer 2

C

Question 3

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

Answer 3

B C

Question 4

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

Question 5

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

Question 6

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

Question 7

The reciprocal is not used in dividing fractions.

Question 8

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

Question 9

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

A)5
B)20
C)50
D)100
E)None of these

Question 10

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

Question 11

The greatest common divisor can be zero.

Question 12

Cancellation is a technique to reduce fractions to the lowest terms.

Question 13

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

Question 14

Fractions should never be reduced to their lowest terms.

Question 15

A mixed number is a whole number and a proper fraction.

Question 16

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

Question 17

Which of the following is not a prime number?

A)5
B)11
C)19
D)24
E)None of these

Question 18

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

Question 19

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

Question 20

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

Question 21

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

Question 22

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

Question 23

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

Question 24

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

Question 25

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

Question 26

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

Question 27

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

Question 28

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

Question 29

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

Question 30

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

Question 31

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

Question 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

Question 33

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

Question 34

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

Question 35

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

Question 36

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

Question 37

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

Question 38

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

Question 39

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

Question 40

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

Question 41

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

Question 42

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?

Question 43

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

Question 44

Jane Ring cut a-6ft 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

Question 45

Convert to a mixed number:
113/6

Question 46

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

Question 47

The greatest common divisor of 60/216 is:

A)2
B)12
C)10
D)5
E)None of these

Question 48

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

Question 49

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?

Question 50

Subtract (reduce to lowest terms if necessary):

Question 51

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

Question 52

Convert to an improper fraction:
9 1/8

Question 53

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

Question 54

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

A)5
B)15
C)25
D)7
E)None of these

Question 55

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?

Question 56

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?

Question 57

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

Question 58

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

Question 59

Subtract (reduce to lowest terms if necessary):

Question 60

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

Question 61

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"?

Question 62

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?

Question 63

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?

Question 64

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.

Question 65

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

Question 66

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?

Question 67

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?

Question 68

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.

Question 69

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

Question 70

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?

Question 71

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