REVIEW EXERCISES
|
CHAPTER 2—SECTION I
Mixed
Twenty-three
and four-fifths
15
3.
9
Improper
Improper
Twelve-twelfths Fifteen-ninths
12
2.
12
1
5. 2
8
Proper
Mixed
Seven-sixteenths Two and
one-eighth
7
4.
16
26
2
1
53 53
8
8
4
64
4
54
15
15
6.
9.
10.
7.
88
58
11
20
2
1
53 53
6
6
3
11.
8.
33
2
51
31
31
92
12
3
55
55
16
16
4
Convert the following improper fractions to whole or mixed numbers:
1.
4
23
5
For each of the following, identify the type of fraction, and write it in word form:
T2-1
REVIEW EXERCISES
|
CHAPTER 2—SECTION I
13
1
5
2
2
5
149
5
8
8
4
59
5
5
5
14
5
5
9
9
(1 3 9 1 5 5 14)
16. 1
(250 3 4 1 1 5 1,001)
1,001
1
17. 250 5
4
4
(25 3 3 1 2 5 77)
2
77
14. 25 5
3
3
(11 3 5 1 4 5 59)
13. 11
(18 3 8 1 5 5 149)
15. 18
(6 3 2 1 1 5 13)
12. 6
Convert the following mixed numbers to improper fractions:
T2-2
REVIEW EXERCISES
|
CHAPTER 2—SECTION I
26.
22.
18.
8
23
8
Lowest
5
terms
23
27
36
27 4 9
3
5
36 4 9
4
21
35
21 4 7
3
5
35 4 7
5
27.
23.
19.
78
96
78 4 6
13
5
96 4 6
16
14
112
1
14 4 14
5
112 4 14
8
9
12
943
3
5
12 4 3
4
28.
24.
20.
30
150
30 4 30
1
5
150 4 30
5
9
42
3
943
5
42 4 3
14
18
48
18 4 6
3
5
48 4 6
8
29.
25.
21.
85
306
85 4 17
5
5
306 4 17
18
95
325
19
95 4 5
5
325 4 5
65
216
920
216 4 8
27
5
920 4 8
115
Use inspection or the greatest common divisor to reduce the following fractions to
their lowest terms:
T2-3
REVIEW EXERCISES
|
CHAPTER 2—SECTION I
31.
5
5
37.
8
64
5
40
5
8
64
64 4 8 5 8
¢
≤
8 3 5 5 40
5
9
5
5
38.
39.
6
360
13
182
5
300
126
9
5
5
6
360
13
182
360 4 6 5 60
182 4 13 5 14
¢
≤
¢
≤
60 3 5 5 300
14 3 9 5 126
3
to ninety-eighths
7
42 98 4 7 5 14
3
¢
≤
5
7
98 14 3 3 5 42
3
7
to forty-eighths
32.
to eightieths
4
8
3
36 48 4 4 5 12
70 80 4 8 5 10
7
¢
≤
¢
≤
5
5
4
48 12 3 3 5 36
8
80 10 3 7 5 70
11
1
to sixty-fourths
34.
to hundredths
35.
16
5
11
1
44 64 4 16 5 4
20 100 4 5 5 20
¢
≤
¢
≤
5
5
16
5
64 4 3 11 5 44
100 20 3 1 5 20
2
to twenty-sevenths
3
2
18 27 4 3 5 9
¢
≤
5
3
27 9 3 2 5 18
3
5
36.
5
25
3
15
5
5
25
25 4 5 5 5
¢
≤
5 3 3 5 15
33.
30.
Raise the following fractions to higher terms, as indicated:
T2-4
92 96 4 24 5 4
23
5
¢
≤
24
96 4 3 23 5 92
23
5
24
96
41.
|
2
16 72 4 9 5 8
5
¢
≤
9
72 8 3 2 5 16
2
5
9
72
REVIEW EXERCISES
3
5
8
4,000
1,500 4,000 4 8 5 500
3
5
¢
≤
8
4,000 500 3 3 5 1,500
42.
CHAPTER 2—SECTION I
b.
a.
2
22
5 Dropped out
33
3
3
1
2
2 5 Finished the race
3
3
3
What fraction represents the portion of the total cars that finished the race?
33 Total
2 11 Running
22 Dropped out
What fraction represents the portion of the total cars that dropped out of the race?
44. In last year’s Indianapolis 500 car race, 11 of the 33 starters were still running at the end.
3
24
5 Was eaten
5
40
43. A wedding cake was cut into 40 slices. If 24 of the slices were eaten, what fraction
represents the eaten portion of the cake? Reduce your answer to lowest terms.
40.
T2-5
T2-6
BUSINESS DECISION | CHAPTER 2—SECTION I
THE WRENCH SALE
45. You work in the tool department of a Home Depot store. Your manager asks you to
set up a point-of-purchase display for a set of 10 wrenches that are on sale this week.
He asks you to arrange them in order from smallest to largest on the display board.
9 5 5 1 3 3 7 5 1 3
, 8, 16, 2, 16, 4, 8, 32, 4, 8.
When you open the box, you find the following sizes in inches: 32
a.
Rearrange the wrenches by size, from smallest to largest.
To solve, raise all fractions to the LCD, 32, then arrange and reduce.
5 3 1 9 5 3 1 5 3 7
, , , , , , , , ,
32 16 4 32 16 8 2 8 4 8
b.
Next, your manager tells you that the sale will be for “1/3 off” the regular price
of $57, and has asked you to calculate the “sale price” to be printed on the sign.
2
3 57 5 $38
3
c.
After the sale is over, your manager asks you for the sales figures on the wrench promotion. If 150 sets were sold that week, what amount of revenue will you report?
150
3 38
$5700
d.
If $6,000 in sales was expected, what reduced fraction represents the sales actually attained?
5700
19
5
6000
20
REVIEW EXERCISES
|
4.
1.
3
5
5
5
1
2
2
2
3
5
6 24 3
3 12 3
3 6 3
3 3 3
1 1 1
1 1 1
3 15
1 5
1 1
5
5
5
5
5
1
2 3 2 3 2 3 3 3 5 5 120 LCD
1 19 2 3
, , ,
6 24 3 5
3 3 5 5 15 LCD
4 2 8
, ,
5 3 15
5.
2.
3
2
3
2
3
1
1
1
1
9
3
3
1
1
4
4
2
2
1
2
2
3
5
5
25
25
25
25
5
1
60
30
15
5
1
1
20
10
5
5
1
1
2 3 2 3 3 3 5 3 5 5 300 LCD
21 9 7 1
, , ,
25 60 20 3
3 3 2 3 3 3 2 5 36 LCD
1 4 3
, ,
3 9 4
3
3
3
1
1
1
6.
3.
2
2
3
2
2
3
5
7
12
6
3
1
1
1
14
7
7
7
7
1
3
3
3
1
1
1
10
5
5
5
1
1
2
1
1
1
2 3 2 3 3 3 5 3 7 5 420 LCD
5 9 2 7
, , ,
12 14 3 10
2 3 2 3 3 5 12 LCD
5 11 1 1
, , ,
6 12 4 2
6 12 4
3 6 2
3 3 1
1 1 1
CHAPTER 2—SECTION II
Find the least common denominator for the following groups of fractions:
T2-7
REVIEW EXERCISES
|
5
1
1
6
2
10
20
16
20
7
1
20
33
13
51
20
20
5
8.
6
3
1
6
2
8
1
51 51
6
6
3
4
7
1
11. 1 1
2
5
20
7.
8
12
9
1
12
17
5
51
12
12
7
5
3
12. 1 1
4
8
16
2
3
1
3
4
5
13
1
8
16
12
16
14
16
5
1
16
31
15
51
16
16
9.
55
60
36
60
38
1
60
129
9
3
52
52
60
60
20
38
6
9 1 29
3
5
51 51
32
32
32
16
9
29
1
32
32
11
3
19
1 1
13.
12
5
30
10
16
13
1
16
23
7
51
16
16
10.
CHAPTER 2—SECTION II
Add the following fractions, and reduce to lowest terms:
T2-8
12
15.
21
14
1
21
26
5
5
5 5511 56
21
21
21
5
7
1
7
1
12 11
2
8
6
|
19
7
27
15
27
9
45
27
7
1 9
27
31
4
4
67 5 67 1 1
5 68
27
27
27
13
CHAPTER 2—SECTION II
12
5
1
13
1
45
16.
24
9
3
21
2 24
4
11
24
37
13
13
10 5 10 1 1 5 11
24
24
24
7
REVIEW EXERCISES
1
20
Monday 3 5 3
2
40
4
32
2
Tuesday 2 5
5
40
1
5
Wednesday 4 5 1 4
8
40
57
17
17
5 9 1 1 5 10 Total miles
9
40
40
40
17. Michael Stone ran 3 12 miles on Monday, 2 45 miles on Tuesday, and 418 miles on
Wednesday. What is Michael’s total mileage for the 3 days?
4
2
14. 5 1
7
3
T2-9
REVIEW EXERCISES
|
CHAPTER 2—SECTION II
9
3
6
6
5
30
10
1
10
1 4
514
3
30
19
10
30
19. At a farmer’s market you buy 6 103 pounds of red onions and 4 13 pounds of yellow
onions. What is the total weight of the purchase?
45
1
8
5
45
5
40
3
30
126 5 126
4
40
3
15
1 88 5 1 88
8
40
53
13
13
259 5 259 1 1
5 260 Pounds
40
40
40
18. Sanford Distributors shipped three packages to San Francisco weighing
45 15, 126 34, and 88 38 pounds. What was the total weight of the shipment?
T2-10
REVIEW EXERCISES
|
CHAPTER 2—SECTION II
March
February
January
1
5
12 5 12
2
10
4
8
5 15
15
5
10
7
7
134 5 1 34
10
10
20
61 5 61 1 2 5 63 Tons
10
20. BrewMasters Coffee Co. purchased 12 12 tons of coffee beans in January, 15 45 tons in
February, and 34107 tons in March. What was the total weight of the purchases?
T2-11
REVIEW EXERCISES
|
5
2
4
5
6
3
1
5
2
6
6
5 12
9
5
4
24 58
15
15
15
3
1
25. 12 2 4
5
3
21.
7
25
32
2
5
56
56
56
5
5 28
5 27
3
8
25
12
12
15
8
7
25
52
12
12
12
57
65
36
29
2 1 5 26
45
45
45
20
36
21
45
45
58
9
3
12
2
5
16
16
16
11
3
28
12
8
5
9
3
2
4
16
28. 8
24.
13
22
9
28
5
24
24
24
CHAPTER 2—SECTION II
1
11
12
2
5
18
18
18
1
2
2
3
18
4
4
27. 28 2 1
9
5
23.
58
2
1
25
4
3
5
1
4
2
7
8
26. 8
22.
Subtract the following fractions, and reduce to lowest terms:
T2-12
REVIEW EXERCISES
|
CHAPTER 2—SECTION II
13
35
Acres left
15
3
1
5
4
5
2 52
6
5
8
2
5 5 Total yards for both pieces
12
3
1
3
3 5
3
4
12
5
5
12
5 12
12
12
29
5
5 2
yards for jacket
12
12
13
39
5
4
12
5
10
5 2
6
12
30. A particular dress requires 3 14 yards of fabric for manufacturing. If the matching
jacket requires 56 yard less fabric, how much fabric is needed for both pieces?
54
2
10
25
5
5
54
53
3
15
15
4
12
12
5 2 18
2 18 5 2 18
5
15
15
29. Bill North sold 18 45 of his 54 23 acres of land. How many acres does Bill have left?
T2-13
REVIEW EXERCISES
|
CHAPTER 2—SECTION II
How many feet did he cut?
2
20
7
7 5
3
30
1
6
16
16 5
5
30
1
15
1 21 5 1 21
2
30
41
11
44
5 45
Feet cut
30
30
How much tubing is left on the roll?
30
136
5 135
30
11
11
5 2 45
2 45
30
30
19
90
Feet left on roll
30
a.
b.
31. A roll of flexible tubing is 136 feet long. John Hiffman cut lengths of
7 23, 16 15, and 21 12 from the roll.
T2-14
T2-15
REVIEW EXERCISES | CHAPTER 2—SECTION I I
32. Charlie Winters weighed 196 12 pounds when he decided to join a gym to lose some
weight. At the end of the first month he weighed 191 38 pounds
a.
How much did he lose that month?
1
4
196 5 196
2
8
3
3
2 191 5 2 191
8
8
1
5 Pounds
8
b.
If his goal is 183 34 pounds, how much more does he have to lose?
3
3
11
191 5 191 5 190
8
8
8
3
6
6
2 183 5 2 183 5 2 183
4
8
8
5
7 Pounds
8
33. An electric sanding machine reduced a table top from
much of the wood was sanded off?
5
10
5
8
16
5
5
52
2
16
16
5
Inch sanded off
16
5
8
inch to
5
16
inch thick. How
T2-16
REVIEW EXERCISES | CHAPTER 2—SECTION I I
34. Michael Angelo, a painter, used 6 45 gallons of paint on the exterior of a house and
9 34 gallons on the interior.
a.
What is the total amount of paint used on the house?
16
4
6 5 6
20
5
15
3
19 519
20
4
31
11
5 16
15
20
20
b.
If an additional 8 35 gallons was used on the garage, what is the total amount of
paint used on the house and garage?
11
11
5 16
16
20
20
12
3
1 8 5 1 8
20
5
23
3
24
5 25
20
20
c.
Rounding your answer from part b “up” to the next whole gallon, calculate the
total cost of the paint, if you paid $23 for each gallon.
26
3 23
$598
T2-17
BUSINESS DECISION | CHAPTER 2—SECTION I I
THE RED-EYE EXPRESS
35. You are an executive with All-Star Corporation in Atlanta, Georgia. The company
president was scheduled to make an important sales presentation tomorrow afternoon
in Seattle, Washington, but has now asked you to take his place.
The trip consists of a 212 hour flight from Atlanta to Dallas, a 114 hour layover in
Dallas, and then a 3 43 hour flight to Portland. There is a 1 12 hour layover in Portland
and then a 34 hour flight to Seattle. Seattle is on Pacific Time, which is 3 hours earlier
than Eastern Time in Atlanta.
a.
If you depart Atlanta tonight at 11:30 P.M., and all flights are on schedule, what
time will you arrive in Seattle?
1
1
3
1
3
3
1 1 1 3 1 1 1 5 9 hours
2
4
4
2
4
4
3
11:30 P.M. 1 9 hours 2 3 hour time difference 5 6:15 A .M .
4
2
b.
If your return flight is scheduled to leave Seattle at 10:10 P.M. tomorrow night,
with the same flight times and layovers in reverse, what time are you scheduled
to arrive in Atlanta?
3
10:10 P.M. 1 9 hours 1 3 hour time difference 5 10:55 A .M .
4
c.
If the leg from Dallas back to Atlanta is 23 of an hour longer than scheduled
due to headwinds, what time will you actually arrive?
2
hour 5 40 minutes
3
10:55 A.M. 1 40 minutes 5 11:35 A .M .
REVIEW EXERCISES
|
CHAPTER 2—SECTION III
2
4
8
3 5
3
5
15
2.
5
1
5
3 5
6
4
24
41
8
328
13
3 5
5 21
5
3
15
15
2
1
9. 8 3 2
5
3
1
1
1
2/
4/
3 3 3
10.
2/
3/
5/
1
1
1
5
2
5
10
25
2
10
16
3 5
3 5
5.
6.
19
8/
19
51
5/
51
1
1
1.
1
1
7/
1
4/
1
4. 3 3 5
8/
3
7/
6
2
1
2
5
3
1
9
2
4
29
174
3
3 5
5 34
3
5
1
5
5
1
1 1
3/
1
1
1
1
2
4
3 5/ 5 5 1 11.
3 3 5
12. 3 5 3 9
4/
1
5
5
5
125
3
5
1
1
52
1
3
2 8
33
2
2
12
8/
2
3
345
7.
8. 3 3 6/ 5 5 2
3
3
11
40
5
3
3/
1
1 1
1
5
2
1
4/
2
3 5
3.
2/
9
9
1
Multiply the following fractions and reduce to lowest terms. Use cancellation
whenever possible:
T2-18
T2-19
REVIEW EXERCISES | CHAPTER 2—SECTION I I I
13. A recent market research survey showed that
decaffeinated coffee over regular.
3
8
of the people interviewed preferred
a. What fraction of the people preferred regular coffee?
3
5
8
2 5 Preferred regular
8
8
8
b. If 4,400 persons were interviewed, how many preferred regular coffee?
550
4,400
2,750
5
3 5
5 2,750 People preferred regular
1
8
1
1
14. At a recent baseball game, 34 of the 42,500 seats in the stadium were occupied.
How many people were at the game?
3
3 42,500 5 31,875 People attended the game
4
15. A driveway requires 9 12 truckloads of gravel. If the truck holds 4 58 cubic yards of
gravel, how many total cubic yards of gravel are used for the driveway?
1
5
19
37
703
15
9 34 5
3
5
5 43 Yards of gravel
2
8
2
8
16
16
16. Molly borrowed $4,200 from the bank. If she has already repaid 37 of the loan, what
is the remaining balance owed to the bank?
600
4,200 Total
4,200
1,800
3
3 5
5 $1,800 Already paid 2 1,800
1
7
1
$2,400 Still owed
1
REVIEW EXERCISES
|
CHAPTER 2—SECTION III
30,000
1
150,000
56,250
3
3
5
3 5
5 $56,250
8
1
8
1
1
150,000
60,000
2
2
3 5
5 $60,000
Anita $150,000 3 5
5
1
5
1
Sam $150,000 3
18,750
David
56,250
150,000
1 60,000 2 116,250
116,250
$33,750
18. Three partners share a business. Sam owns 83, Anita owns 25, and David owns the
rest. If the profits this year are $150,000, how much does each partner receive?
17. Mat Mesaros works 36 45 hours per week for 3 weeks on Project 1, and 27 23 hours per
week for 712 weeks on Project 2. What is the total number of hours spent on both
projects?
2
4
4
184
3
552
2
110 5 110
Project 1 5 36 3 3 5
3 5
5 110 Hours
5
10
5
5
1
5
5
1
5
5
1207 5 1207
2
10
15
83
415
2
1
1
5
5 207 Hours
Project 2 5 27 3 7 5
3
9
3
2
3
2
2
2
317
Total hours
1
10
T2-20
REVIEW EXERCISES
|
1
2
12
5
1
15
3 5
57
1
8
2
2
18
19
19
3
5 19
5
1
18
1
3
5
3
28. 12 4 1
1
18
19
1
1
1
16
9
1
3
5 51
16
9
1
1
6
2
1
3 5
3
5
5
1
9
9
4
16 16
1 5
4
3 6
2
2
3
1
7
1
4
10 5
5
7
7
1
3 5 53
10
1
2
2
24.
20.
8
20
5
2
52
3 5
6
3
9
9
4
5 3
4
6 8
27. 18 4
23.
19.
29.
6
10
15
15
5
5
5
3
60
7
42
14
1
5
6
1
3
3
5
5
10
25
3
1
30. 1 4 10
5
43
3
129
27
3
5
53
2
17
34
34
1
2
26. 21 4 5
2
3
8
192
24
17
3 5
55
5
7
35
35
15
7
4
60 10
4
5
7
5
35
3
3 5
58
1
4
4
4
22. 7 4
CHAPTER 2—SECTION III
8
16
2
1
3 5
51
3
5
15
15
2 5
4
3 8
4 7
25. 4 4
5 8
21.
Divide the following fractions and reduce to lowest terms:
T2-21
T1-22
REVIEW EXERCISES | CHAPTER 2—SECTION I I I
31. Dream Homes, Inc., a builder of custom homes, owns 126 12 acres of undeveloped land.
If the property is divided into 2 34-acre pieces, how many homesites can be developed?
23
2
253
4
3
253 11
46
1
4
5
5 46 Homesites
3
5
126 4 2 5
2
4
2
4
2
11
1
1
1
32. An automobile travels 365 miles on 16 23 gallons of gasoline.
a. How many miles per gallon does the car get on the trip?
73
365
2
9
365 50
3
219
365 4 16 5
4
5
3
5 21 Miles per gallon
5
3
1
3
1
50
10
10
10
b. How many gallons would be required for the car to travel 876 miles?
4
876
9
876 219
10
40
5
4
5
3
5 40 Gallons
876 4 21
5
10
1
10
1
219
1
1
33. Dollar Department Store purchases 600 straw baskets from a wholesaler.
a. In the first week, 25 of the baskets are sold. How many are sold?
120
600
2
240
3 5
5 240 Baskets sold first week
1
5
1
1
b. By the third week, only
3
20
remain. How many baskets are left?
30
600
3
90
3
5 90 Baskets left third week
5
1
20
1
1
34. Maris Fox has one-half of a pie left after a party. She says that Bob,
Carlos, and Andy may divide it equally and take it home. What fraction
of the pie will each person get?
1
1
1
1
4 3 5 3 5 Of the pie to each person
2
2
3
6
REVIEW EXERCISES
|
CHAPTER 2—SECTION III
1
518
4
518 14
5
185
5
5
4
5
3
5 185 Boxes
5
1
5
1
14
1
140 lbs
3 16 oz
2,240 Total ounces
3
2,240
2,240 21
1
2
1
640
2,240 4 10 5
4
5
3
5 213 5 213 Dinners
5
2
1
2
1
21
3
3
320
36. The chef at the Sizzling Steakhouse has 140 pounds of sirloin steak on
hand for Saturday night. If each portion is 10 12 ounces, how many sirloin
steak dinners can be served? Round to the nearest whole dinner.
(There are 16 ounces in a pound.)
518 4 2
37
35. Moreado Hardware Supply Company buys nails in bulk from the
manufacturer and packs them into 2 45-pound boxes. How many boxes
can be filled from 518 pounds of nails?
T2-23
REVIEW EXERCISES
|
CHAPTER 2—SECTION III
1
1
1
275
8
3 5
275 5
4 5
3 5 55 Signs
34 4 5
8 8
8
8
8
5
55
38. Regal Reflective Signs makes speed limit signs for the state department of transportation. By law, these signs must be displayed every 58 of a mile. How many signs
will be required on a new highway that is 34 38 miles long?
1,200 4 200 5 $6 Each
b. What is the cost of wire per circuit board?
1
840
1
840 21
5
200
840 4 4 5
4
5
3
5 200 Circuit boards
5
5
1
5
1
21
1
40
a. How many circuit boards can be made from each roll?
37. Engineers at Master’s Electronics use special silver wire to manufacture
fuzzy logic circuit boards. The wire comes in 840-foot rolls that cost
$1,200 each. Each board requires 4 15 feet of wire.
T2-24
REVIEW EXERCISES
|
CHAPTER 2—SECTION III
16 4
11
16
256
3
16
5
3
5
5 23
16
1
11
11
11
39. You are making a batch of corn flake-crusted chicken for a party. The recipe calls
for one pound of crushed corn flakes. How many 11
16 ounce individual-sized boxes
will it take to make the chicken? (There are 16 ounces in a pound.)
T2-25
T2-26
BUSINESS DECISION | CHAPTER 2—SECTION I I I
DINNER SPECIAL
40. You are the owner of The Gourmet Diner. On Wednesday nights you offer a special of “Buy one dinner, get one free dinner—of equal or lesser value.” Michael and
Ernie come in for the special. Michael chooses chicken Parmesan for $15, and Ernie
chooses a $10 barbecue-combo platter.
a.
Excluding tax and tip, how much should each pay, to share the check fairly?
3
15
5
25
5
10
2
Ernie
5
25
5
Michael
b.
3
3 15 5 $9
5
2
3 15 5 $6
5
If sales tax and tip amount to 15 of the total of the two dinners, how much is that?
25
1
3
5 $5
5
1
c.
If they decide to split the tax and tip in the same ratio as the dinners, how much
more does each owe?
3
3 5 5 $3
5
2
3 5 5 $2
5