CHAPTER 2 TEST—FRACTIONS
COMPLETION
1.A mathematical way of expressing a part of a whole thing is called a(n) ______.
ANS:fraction
PTS:1DIF:Easy
2.The number on the bottom of the division line of a fraction is called the ______.
ANS:denominator
PTS:1DIF:Easy
3.A fraction in which the numerator is smaller than the denominator is called a(n) ______.
ANS:
common fraction
proper fraction
PTS:1DIF:Easy
4.A(n) ______combines a whole number with a proper fraction.
ANS:mixed number
PTS:1DIF:Easy
5.The least common denominator is the ______, and therefore most efficient, common denominator in addition or subtraction of fractions.
ANS:smallest
PTS:1DIF:Easy
6.A whole number divisible only by itself and l is called a(n) ______.
ANS:prime number
PTS:1DIF:Easy
7.Proper fractions that have the same denominator in addition or subtraction are called ______fractions.
ANS:like
PTS:1DIF:Easy
8.Inverted numbers are known as ______of each other.
ANS:reciprocals
PTS:1DIF:Medium
9.In division of fractions, the ______is inverted.
ANS:divisor
PTS:1DIF:Medium
10.A useful shortcut which simplifies the multiplication of fractions is called ______.
ANS:cancellation
PTS:1DIF:Easy
MULTIPLE CHOICE
11.Identify the type of fraction and written word form:
a. / Proper fraction, eleven-thirdsb. / Improper fraction, eleven-thirds
c. / Improper fraction, eleven-threes
d. / Proper fraction, eleven-threes
ANS:BPTS:1DIF:Easy
12.Identify the type of fraction and written word form:
a. / Proper fraction, twenty-four and nineteen-twentiethsb. / Improper fraction, twenty-four and nineteen-twentieths
c. / Mixed number, twenty-four and nineteen-twentieths
d. / Mixed number, twenty-four and nineteen-twenties
ANS:CPTS:1DIF:Easy
13.Identify the type of fraction and written word form:
a. / proper fraction; seven-thirtiethsb. / mixed number; seven-thirtieths
c. / improper fraction; seven-thirtieths
d. / proper fraction; seven thirty
ANS:APTS:1DIF:Easy
14.Identify the type of fraction and written word form:
a. / improper fraction; thirty-three tenb. / proper fraction; thirty-three-tenths
c. / improper fraction; thirty-three-tenths
d. / mixed number; thirty-three-tenths
ANS:CPTS:1DIF:Easy
15.Convert the following improper fraction to a whole number or a mixed number:
a. / 8b. /
c. /
d. /
ANS:BPTS:1DIF:Easy
16.Convert the following improper fraction to a whole number or a mixed number:
a. /b. / 77
c. / 100
d. / 10
ANS:DPTS:1DIF:Easy
17.Convert the following improper fraction to a whole number or a mixed number:
a. /b. / 6.83
c. /
d. / 7
ANS:APTS:1DIF:Easy
18.Convert the following mixed number to an improper fraction:
a. /b. /
c. /
d. /
ANS:CPTS:1DIF:Easy
19.Convert the following mixed number to an improper fraction:
a. /b. /
c. /
d. /
ANS:BPTS:1DIF:Easy
20.Convert the following mixed number to an improper fraction:
a. /b. /
c. /
d. /
ANS:DPTS:1DIF:Easy
21.Reduce the fraction to lowest terms:
a. /b. /
c. /
d. /
ANS:BPTS:1DIF:Easy
22.Reduce the following fraction to lowest terms:
a. /b. /
c. /
d. /
ANS:DPTS:1DIF:Easy
23.Convert the fraction to higher terms. Enter the value of the missing numerator:
a. / 6b. / 15
c. / 30
d. / 11
ANS:CPTS:1DIF:Medium
24.Convert the fraction to higher terms. Enter the value of the missing numerator:
a. /b. /
c. /
d. /
ANS:CPTS:1DIF:Medium
25.Convert the fraction to higher terms. Enter the value of the missing numerator:
a. /b. /
c. /
d. /
ANS:BPTS:1DIF:Medium
26.Find the least common denominator of the fractions: , , ,
a. / 32,256b. / 1008
c. / 18
d. / 288
ANS:BPTS:1DIF:Difficult
27.Find the least common denominator of the fractions: , , ,
a. / 154b. / 18
c. / 144
d. / 27,648
ANS:CPTS:1DIF:Difficult
28.Find the least common denominator of the fractions: , , ,
a. / 49b. / 18
c. / 8
d. / 504
ANS:DPTS:1DIF:Difficult
29.Find the least common denominator of the fractions: , , ,
a. / 504b. / 280
c. / 39
d. / 560
ANS:BPTS:1DIF:Difficult
30.Add and reduce the following:
a. /b. /
c. /
d. /
ANS:BPTS:1DIF:Easy
31.Britt shipped three packages to Los Angeles. If the packages weighed , , and , what was the total weight?
a. /b. /
c. /
d. /
ANS:APTS:1DIF:Medium
32.Vasco shipped three packages to New York. If the packages weighed , , and pounds, what was the total weight?
a. /b. / 73
c. /
d. /
ANS:CPTS:1DIF:Medium
33.Subtract and reduce:
a. /b. /
c. /
d. /
ANS:CPTS:1DIF:Easy
34.Multiply and reduce the following:
a. /b. /
c. /
d. /
ANS:APTS:1DIF:Easy
35.Multiply and reduce the following:
a. /b. /
c. /
d. /
ANS:DPTS:1DIF:Medium
36.A cloth measures yards long by yards wide. What is the area of the cloth? (Multiply length times width.)
a. /b. /
c. /
d. /
ANS:APTS:1DIF:Medium
37.Multiply and reduce:
a. /b. /
c. /
d. /
ANS:CPTS:1DIF:Easy
38.Divide the following fractions and reduce to lowest terms:
a. /b. /
c. /
d. /
ANS:BPTS:1DIF:Easy
39.Divide the following fractions and reduce to lowest terms:
a. / 4b. /
c. /
d. /
ANS:APTS:1DIF:Easy
40.Divide and reduce:
a. /b. /
c. /
d. /
ANS:BPTS:1DIF:Medium
41.Divide and reduce:
a. /b. /
c. /
d. /
ANS:DPTS:1DIF:Medium
42.Convert the following improper fraction to a whole number or a mixed number:
a. /b. /
c. /
d. / 11
ANS:DPTS:1DIF:Easy
43.Reduce the fraction:
a. /b. /
c. /
d. /
ANS:CPTS:1DIF:Easy
44.Reduce the following fraction to lowest terms:
a. /b. /
c. /
d. /
ANS:DPTS:1DIF:Medium
45.Convert the fraction to a higher term, as indicated: to thousands
a. /b. /
c. /
d. /
ANS:APTS:1DIF:Medium
46.Add and reduce:
a. /b. /
c. /
d. /
ANS:DPTS:1DIF:Difficult
47.Subtract and reduce the following:
a. /b. /
c. /
d. / 1
ANS:BPTS:1DIF:Medium
PROBLEM
48.Identify the type of fraction, and write it in word form:
ANS:
mixed number; twenty-two and three-eighths
PTS:1DIF:Medium
49.Identify the type of fraction, and write it in word form:
ANS:
proper fraction; five-seventeenths
PTS:1DIF:Easy
50.Identify the type of fraction, and write it in word form:
ANS:
improper fraction; twelve-twelfths
PTS:1DIF:Easy
51.Convert the improper fraction to a whole or mixed number:
ANS:
improper fraction;
PTS:1DIF:Medium
52.Convert the improper fraction to a whole or mixed number:
ANS:
PTS:1DIF:Easy
53.Convert the improper fraction to a whole or mixed number:
ANS:
PTS:1DIF:Easy
54.Convert the improper fraction to a whole or mixed number:
ANS:
PTS:1DIF:Easy
55.Convert the mixed number to an improper fraction:
ANS:
PTS:1DIF:Easy
56.Convert the mixed number to an improper fraction:
ANS:
PTS:1DIF:Easy
57.Convert the mixed number to an improper fraction:
ANS:
PTS:1DIF:Easy
58.Convert the mixed number to an improper fraction:
ANS:
PTS:1DIF:Easy
59.Reduce the fraction to lowest:
ANS:
PTS:1DIF:Easy
60.Reduce the fraction to lowest:
ANS:
PTS:1DIF:Medium
61.Reduce the fraction to lowest:
ANS:
PTS:1DIF:Medium
62.Convert the fraction to a higher term, as indicated: to forty-ninths
ANS:
PTS:1DIF:Easy
63.Convert the fraction to a higher term, as indicated: to thirty-sixths
ANS:
PTS:1DIF:Easy
64.Convert the fraction to a higher term, as indicated: to hundreds
ANS:
PTS:1DIF:Easy
65.Convert the fraction to a higher term, as indicated: to eighths
ANS:
PTS:1DIF:Easy
66.Convert the fraction to a higher term, as indicated:
ANS:
PTS:1DIF:Easy
67.Convert the fraction to a higher term, as indicated:
ANS:
PTS:1DIF:Medium
68.Convert the improper fraction to a whole or mixed number:
ANS:
PTS:1DIF:Easy
69.Convert the fraction to a higher term, as indicated:
ANS:
PTS:1DIF:Difficult
70.Find the least common denominator for the fraction: , ,
ANS:
15
PTS:1DIF:Easy
71.Find the least common denominator for the fraction: , , ,
ANS:
252
PTS:1DIF:Difficult
72.Find the least common denominator for the fraction: , , ,
ANS:
300
PTS:1DIF:Difficult
73.Add the fraction, and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
74.Add the fraction, and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
75.Add the fraction, and reduce to lowest terms:
ANS:
PTS:1DIF:Medium
76.Add the fraction, and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
77.Add the fraction, and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
78.Add the fraction, and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
79.Subtract the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
80.Subtract the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Medium
81.Subtract the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Medium
82.Subtract the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Medium
83.Subtract the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Medium
84.Multiply the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
85.Multiply the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
86.Multiply the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Medium
87.Multiply the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Medium
88.Multiply the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Medium
89.Multiply the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Difficult
90.Divide the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
91.Divide the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
92.Divide the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
93.Divide the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
94.Divide the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Medium
95.Divide the fraction and reduce to lowest terms:
ANS:
PTS:1DIF:Easy
96.After a party Dan noticed that of a pizza was left over. What fractional part of the pizza was eaten?
ANS:
PTS:1DIF:Easy
ESSAY
97.What type of fraction is ? How would you write this fraction in word form?
ANS:
improper fraction, forty-thirteenths
PTS:1DIF:Easy
98.Convert to a whole or mixed number and write it in words.
ANS:
, six and one half
PTS:1DIF:Easy
99.Tiffiny is following a recipe that calls for pounds of chicken. She would like to increase the serving size and will have to change all the measurements. Before Tiffiny can change the measurements, she must convert the mixed number to an improper fraction. What should be the improper fraction for the chicken measurement?
ANS:
PTS:1DIF:Easy
100.At the end of the semester, 25 of the 32 students who started an accounting course remained. What fraction represents the total number of students who dropped the course?
ANS:
PTS:1DIF:Easy
101.Veronica shipped three packages to New York. If the packages weighed , , and pounds, what was the total weight of Veronica's shipment?
ANS:
PTS:1DIF:Easy
102.A carpenter cut pieces of lumber with the following measurements: , , ,
Find the least common denominator.
ANS:
144
PTS:1DIF:Difficult
103.Price is working at the local Jiffy Lube and during his shift used the following cases of oil on his jobs: , , , and
How many cases in total did Price use?
ANS:
PTS:1DIF:Medium
104.Minnie Hunter walked miles on Monday, miles on Wednesday and miles on Friday. How many total miles did she walk?
ANS:
PTS:1DIF:Difficult
105.A good planting soil is made up of pounds of dirt and pounds of cow manure. How much will the mixture weigh afterwards?
ANS:
PTS:1DIF:Easy
106.Ruby and some friends are on a road trip that will take a total of miles. If Ruby and her friends have already traveled miles, how many are left?
ANS:
PTS:1DIF:Medium
107.Peter Williams sold acres of his acre ranch. How many acres does Peter have left?
ANS:
PTS:1DIF:Medium
108.Minnie Ware bought pounds of fertilizer but only used pounds in her garden. How much fertilizer does she have left?
ANS:
PTS:1DIF:Easy
109.Turner Morris weighs times as much as his sister. If his sister weighs 84 pounds, how much does Turner weigh?
ANS:
147 pounds
PTS:1DIF:Easy
110.A foundation requires truckloads of concrete. If the concrete truck holds cubic yards of concrete, how many total cubic yards of concrete are used for the foundation?
ANS:
8 cubic yards
PTS:1DIF:Medium
111.Four surveys taken to assess cable television viewers buying patterns has the following results: , , , . In order to find a grand total, these results must be multiplied. What is the grand total of the survey taken?
ANS:
PTS:1DIF:Difficult
112.How many feet pieces of wire can be cut from a piece 68 feet long?
ANS:
PTS:1DIF:Easy
113.Earl Aaron owns acres of undeveloped land. If the property is divided into acre pieces, how many homesites can be developed?
ANS:
95 homesites
PTS:1DIF:Medium
114.A novelty shop buys marbles in bulk from the manufacturer and packages them into pound boxes. How many boxes can be filled from 828 pounds of marbles?
ANS:
460 boxes
PTS:1DIF:Medium
115.Eastern Mining Co. mines tons of coal on Monday, tons on Tuesday, and tons on Wednesday. If their goal is to mine 40 tons this week, how many more tons must be mined?
ANS:
PTS:1DIF:Medium
116.Mary Good borrowed $21,600 from the bank. She has repaid of the loan. What is the remaining balance owed to the bank?
ANS:
$7,200
PTS:1DIF:Easy
117.A recent poll showed that 60 of the 540 people interviewed preferred decaffeinated coffee over regular. What fraction of the people preferred regular coffee?
ANS:
PTS:1DIF:Medium
118.Chris Spencer increased his earnings by from last year. If he made $36,480 last year, how much did he make this year?
ANS:
$60,800
PTS:1DIF:Medium
119.Robert Browner can assemble circuit boards in one hour. Bill Rich can assemble in one hour. In an 8-hour shift, how many more circuit boards does Bill assemble than Robert?
ANS:
PTS:1DIF:Medium
120.Three heirs share an estate of $340,000. Ted receives , Salley receives , and Daniel receives the balance. How much does Daniel receive?
ANS:
$76,500
PTS:1DIF:Medium
121.A recipe for a meat casserole calls for tablespoons of minced garlic. If this recipe serves 8 people, recalculate the amount of garlic needed to serve 6 people.
ANS:
PTS:1DIF:Difficult
122.Cosmos Company uses square yards of material to make a slip cover for a chair. The material comes in 1,100 square yard rolls that cost $10,150 each.
a. / How many slip covers can be made from each roll?b. / What is the cost of each slip cover?
ANS:
a. / 350 slip coversb. / $29
PTS:1DIF:Difficult
123.A building has a total area of 20,880 square feet. At the present time, the assembly area occupies of the space, the storage area occupies of the area, and the office occupies the balance of the space.
a. / How many square feet of space does the office occupy?b. / If the company wants to increase the size of the assembly area by , how many square feet will the assembly area have?
ANS:
a. / 9,048 square feetb. / 11,136 square feet
PTS:1DIF:Difficult
124.A roll of material is 257 yards long. Janet Barnett cut , , and yards from the roll.
a. / How much material did Janet cut from the roll?b. / How much material was left on the roll?
ANS:
a. / 56 yardsb. / 201 yards
PTS:1DIF:Medium
125.Jack Glenn earns $180 per day. On Monday, he only worked of a day. How much did he earn?
ANS:
$157.50
PTS:1DIF:Easy
126.If a stone cutter has of an ounce of a precious stone and it takes ounce of that stone to make one ring. How many rings can the stone cutter make from the precious stone that he has?
ANS:
6
PTS:1DIF:Easy
127.During the week Ivey earned and of her monthly bonus on two sales transactions. If those bonuses amounted to $840.00, how much was her monthly bonus?
ANS:
$1,440.00
PTS:1DIF:Difficult
128.A tailor needs yards of cloth in order to make a jacket. He needs yards in order to make the slacks to complete the suit. If he makes four suits, how much cloth will he need?
ANS:
PTS:1DIF:Medium
129.A board is feet in length. A carpenter intends to cut blocks from that board of feet in length. How many full sizes pieces can be cut from that board of wood?
ANS:
6
PTS:1DIF:Medium