Deck 2: Fractions

Question 1

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

Answer 1

True

Question 2

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

Answer 2

True

Question 3

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

Answer 3

True

Question 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

Fractions should never be reduced to their lowest terms.

Question 10

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

Question 11

4 is a prime number.

Question 12

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

Question 13

The reciprocal is not used in dividing fractions.

Question 14

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

Question 15

The greatest common divisor can be zero.

Question 16

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

Question 17

4/5 is a proper fraction.

Question 18

The greatest common divisor of 20/30 is:

A)2
B)5
C)1
D)10
E)3

Question 19

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

Question 20

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

Question 21

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)$300

Question 22

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)$1,400

Question 23

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 24

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

Question 25

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

A)5
B)4
C)20
D)50
E)100

Question 26

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 27

4/5 + 6/5 equals:

A)10/5
B)5/1
C)2
D)100
E)None of these

Question 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)In adding fractions

Question 29

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 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)Take denominators and arrange in a row
E)None of these

Question 31

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

A)5
B)20
C)50
D)100
E)500

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 1/2 lbs
D)12 lbs
E)None of these

Question 33

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)Subtract the numerator from the denominator

Question 34

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 35

A machine at Staples photocopies 12 1/4 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)7,500

Question 36

The cancellation method:

A)Raises fractions to the highest terms
B)Results in multiplying a number evenly by the numerator and denominator 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 37

Which of the following is not a prime number?

A)5
B)11
C)19
D)24
E)2

Question 38

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)5,100

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

Matt Kaminsky bought a Volvo that is 3 3/4 times as expensive as the car his parents bought. If his parents paid $15,000 for theirs, what is the cost of Matt's car?

A)$45,000
B)$60,000
C)$30,000
D)$25,000
E)$56,250

Question 41

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)350

Question 42

Mary Cecil buys 3 pizzas for her son's birthday party. Each pizza has 8 servings. Sixteen people eat pizza at the party (assume each has 1 serving). What part of the pizza remains uneaten?

A)1/3
B)1/4
C)2/3
D)3/4
E)4/5

Question 43

Jeff Jones is paid $80 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)$32
B)$30
C)$48
D)$16
E)$40

Question 44

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)$130

Question 45

Match the following terms with their definitions.

-Improper fraction

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 46

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 47

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 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

Match the following terms with their definitions.

-Reciprocal

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 50

Mia Wong bought a new Bose radio for $280. Bill, a friend of Mia's, can afford to pay only 3/4 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 51

Match the following terms with their definitions.

-Fraction

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 52

Jane Ring cut a 6-ft. Subway sandwich into 1 1/2-ft. sandwiches. How many sandwiches can be cut from the 6-ft. sub?

A)6
B)8
C)5
D)10
E)4

Question 53

The greatest common divisor of 60/216 is:

A)2
B)12
C)10
D)5
E)6

Question 54

The average cost of a ticket to the 2016 World Series Game 1 was $1200. The average cost in 2017 increased by 1/5. What was the cost in 2017?

A)$1,000
B)$1,400
C)$240
D)$1,440
E)None of these

Question 55

The price of a $200,000 home listed by REMAX was reduced by 1/20. What is the new price?

A)$180,000
B)$165,000
C)$170,000
D)$160,000
E)None of these

Question 56

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)$120

Question 57

An American Airlines trip from Boston to Los Angeles takes 8 1/2 hours. Assuming we are 1/4 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)2 1/8

Question 58

Match the following terms with their definitions.

-Proper fraction

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 59

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

A)150
B)750
C)250
D)5
E)500

Question 60

Match the following terms with their definitions.

-Cancellation Method

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 61

Match the following terms with their definitions.

-Higher terms

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 62

Match the following terms with their definitions.

-Numerator

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 63

Match the following terms with their definitions.

-Greatest common divisor

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 64

Convert to an improper fraction: 14 1/8

Question 65

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

Question 66

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

Question 67

Match the following terms with their definitions.

-Least common denominator

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 68

Indicate type of fraction:
3 4/7

Question 69

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

Question 70

Match the following terms with their definitions.

-Denominator

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 71

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

Question 72

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

Question 73

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

Question 74

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

Question 75

Match the following terms with their definitions.

-Prime number

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 76

Match the following terms with their definitions.

-Lowest terms

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator

Question 77

Indicate type of fraction: 10/9

Question 78

Convert to a mixed number: 89/6

Question 79

Indicate type of fraction:
6/7

Question 80

Match the following terms with their definitions.

-Mixed number

A)Equivalent to the original but with larger numbers
B)Numerator is less than denominator
C)Smallest nonzero whole number all denominators divide into
D)Bottom part of fraction
E)Top of fraction
F)Numerator is equal to or greater than the denominator
G)A reducing method when multiplying or dividing fractions
H)Number divisible only by itself and 1
I)Expresses a part of a whole number
J)Largest possible number that divides evenly into both parts of fraction
K)Whole number and a proper fraction
L)No number (except 1)divides evenly into both parts of fraction
M)Interchanging denominator and numerator