Preview Extract

Not For Sale
SECTION I โข Understanding and Working with Fractions
39
T ry ItExerc is e 6
Raise the following fractions to higher terms as indicated.
a.
7
to sixty-fourths
8
b.
3
to thirty-fifths
7
C H E C K Y O U R A N S W E R S W I T H T H E S O L U T I O N S O N P A G E 6 1.
For each of the following, identify the type of fraction and write it in word form.
4
12
15
2.
3.
5
12
9
Mixed
Improper
Improper
Twenty-three
Twelve-twelfths
Fifteen-ninths
and four-fifths
1. 23
4.
7
1
5. 2
16
8
Proper
Mixed
Seven-sixteenths
Two and
one-eighth
Convert the following improper fractions to whole or mixed numbers.
6.
26
2
1
=3 =3
8
8
4
7.
20
2
1
=3 =3
3
6
6
8.
92
3
12
=5 =5
4
16
16
9.
6
27
=3
7
7
10.
88
=8
11
11.
33
2
=1
31
31
Convert the following mixed numbers to improper fractions.
1 13
12. 6 =
2
2
(6 ร 2 + 1 = 13)
4 59
13. 11 =
5
5
(11 ร 5 + 4 = 59)
2 77
14. 25 =
3
3
(25 ร 3 + 2 = 77)
3 99
15. 12 =
8
8
(12 ร 8 + 3 = 99)
5 14
16. 1 =
9
9
(1 ร 9 + 5 = 14)
1 1,001
17. 250 =
4
4
(250 ร 4 + 1 = 1,001)
Use inspection or the greatest common divisor to reduce the following fractions
to lowest terms.
18.
22.
26.
21
35
21 รท 7 3
=
35 รท 7 5
24
40
24 รท 8 3
=
40 รท 8 5
8
23
8
= Lowest terms
23
26441_ch02_hr_032-066.indd 39
19.
23.
27.
9
12
9รท3
3
=
12 รท 3 4
14
112
14 รท 14
1
=
112 รท 14 8
78
96
78 รท 6 13
=
96 รท 6 16
20.
24.
28.
18
48
18 รท 6 3
=
48 รท 6 8
9
42
9รท3
3
=
42 รท 3 14
30
150
30 รท 30
1
=
150 รท 30 5
21.
25.
29.
216
920
216 รท 8
27
=
920 รท 8 115
SECTION I
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
2
Review Exercises
95
325
95 รท 5
19
=
325 รท 5
65
85
306
85 รท 17
5
=
306 รท 17 18
11/28/18 2:20 PM
40
Chapter 2 โข Fractions
Raise the following fractions to higher terms as indicated.
30.
2
to twenty-sevenths
3
31.
2 18 27 รท 3 = 9
=
a
b
3 27 9 ร 2 = 18
33.
36.
3
to sixty-fourths
32
3
6 64 รท 32 = 2
=
a
b
32 64 2 ร 3 = 6
3
=
5 25
3 15
=
5 25
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
a
25 รท 5 = 5
b
5 ร 3 = 15
37.
3
to forty-eighths
4
3 36 48 รท 4 = 12
=
a
b
4 48 12 ร 3 = 36
34.
5
=
8 64
5 40
=
8 64
a
1
to hundredths
5
20 100 รท 5 = 20
1
=
a
b
5 100 20 ร 1 = 20
64 รท 8 = 8
b
8 ร 5 = 40
38.
5
=
6 360
5 300
=
6 360
a
32.
7
to eightieths
20
28 80 รท 20 = 4
7
=
a
b
20 80 4 ร 7 = 28
3
35. to ninety-eighths
7
3 42 98 รท 7 = 14
=
a
b
7 98 14 ร 3 = 42
39.
360 รท 6 = 60
b
60 ร 5 = 300
40. What fraction represents the laptops in this group of computers?
9
=
13 182
9
126
=
13 182
a
182 รท 13 = 14
b
14 ร 9 = 126
3
8
41. What fraction represents the screwdrivers in this group of tools?
5
11
42. 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.
24 3
= was eaten
40 5
43. Jasmine Marleyโs swimming pool holds 16,000 gallons of water, and her spa holds 2,000 gallons
of water. Of all the water in the pool and spa,
a. What fraction is the spa water?
2,000
2
1
=
=
2,000 + 16,000 18 9
Courtesy of Bob Brechner
b. What fraction is the pool water?
The Home Depot is the largest
home improvement chain in
the world with approximately
2,250 stores in the United States,
Puerto Rico, Canada, Mexico, and
China.
Loweโs is number two with
about 1,650 stores.
16,000
16 8
=
=
2,000 + 16,000 18 9
44. You work in the tool department at The Home Depot. Your manager asks you to set up a
ยญpoint-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. When you open the box, you
9 5 5 1 3 3 7 5 1 3
find the following sizes in inches: 32
, 8, 16, 2, 16, 4, 8, 32, 4, 8 .
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 โ1/3 offโ the regular price of $57
and has asked you to calculate the sale price to be printed on the sign.
Not For Sale
26441_ch02_hr_032-066.indd 40
2
ร 57 = $38
3
11/28/18 2:20 PM
Not For Sale
SECTION II โข Addition and Subtraction of Fractions
41
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
ร 38
$5,700
d. If $6,000 in sales was expected, what reduced fraction represents sales attained?
5,700 19
=
6,000 20
45. You are on an academic committee tasked to evaluate state employment math test questions. The
following question has come to the attention of the committee:
โEach of the four digits 2, 4, 6 , and 9 is placed in one of the boxes to
form a fraction. The numerator and the denominator are two-digit whole
numbers. What is the smallest value of all the common fractions that can
be formed? Express your answer as a reduced fraction.โ
Adapted from the NCTM Calendar, November 2004.
Some committee members contend this is not a valid question. Solve the problem and explain the
ยญsolution to prove (or disprove) the questionโs validity.
1
4
To make a fraction as small as possible, make the numerator as small as possible and the
denominator as large as possible. With the given digits, 2, 4, 6, and 9, the smallest two-digit
number that can be formed is 24 and the largest two-digit number that can be formed is 96.
The fraction is 24
, which reduces to 14 . The test question is valid.
96
Addition and Subtraction of Fractions
Adding and subtracting fractions occurs frequently in business. Quite often we must combine
or subtract quantities expressed as fractions. To add or subtract fractions, the denominators
must be the same. If they are not, we must find a common multiple, or common ยญdenominator,
of all the denominators in the problem. The most efficient common denominator to use is the
least common denominator, or LCD. By using the LCD, you avoid raising fractions to terms
higher than necessary.
2
SECTION II
common denominator A common multiple of all the denominators
in an addition or subtraction of fractions problem. A common denominator of the fractions 14 + 35 is 40.
Determining the Least Common Denominator
(LCD) of Two or More Fractions
2-6
The least common denominator (LCD) is the smallest number that is a multiple of each of the
given denominators. We can often find the LCD by inspection (i.e., mentally) just by using the
definition. For example, if we want to find the LCD of 14 and 16 , we think (or write out, if we wish):
least common denominator
(LCD) The smallest and, therefore,
Multiples of 4 are 4, 8, 12, 16, 20, 24, and so on
Multiples of 6 are 6, 12, 18, 24, 30, and so on
By looking at these two lists, we see that 12 is the smallest multiple of both 4 and 6.
Thus, 12 is the LCD.
Sometimes, especially when we have several denominators or the denominators are
ยญrelatively large numbers, it is easier to use prime numbers to find the LCD. A prime number
is a whole number greater than 1 that is evenly divisible only by itself and 1. Following are
prime numbers:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and so on
26441_ch02_hr_032-066.indd 41
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
iStock.com/
MarsBars
BUSINESS DECISION: Evaluating The Question
most efficient common denominator
in addition or subtraction of fractions. The least common denominator of the fractions 14 + 35 is 20.
prime number A whole number
greater than 1 that is divisible only
by itself and 1. For example, 2, 3, 5, 7,
and 11 are prime numbers.
11/28/18 2:20 PM
Not For Sale
SECTION II โข Addition and Subtraction of Fractions
47
T ry ItExerc is e 13
Subtract the following mixed numbers and reduce to lowest terms.
3
2
a. 6 โ 4
4
3
b. 25
5
2
โ 11
9
6
C H E C K Y O U R A N S W E R S W I T H T H E S O L U T I O N S O N P A G E 6 1.
Find the least common denominator for the following groups of fractions. For problems 1โ3,
try finding the LCD by inspection (i.e., mentally) first, then use the prime-number method.
1.
4 2 8
, ,
5 3 15
3
5
5 3 15
5 1 5
1 1 1
2.
3 ร 5 = 15 lCD
4.
1 19 2 3 2
, , ,
6 24 3 5 2
2
3
5
6 24 3
3 12 3
3 6 3
3 3 3
1 1 1
1 1 1
4 3
,
9 4
2
2
3
3
9
9
9
3
1
4
2
1
1
1
3.
5.
21 9 7 1 2
, , ,
25 60 20 3 2
3
5
5
2
2
3
6
3
3
1
12
6
3
1
4
2
1
1
2
1
1
1
2 ร 2 ร 3 = 12 LCD
2 ร 2 ร 3 ร 3 = 36 LCD
5
5
5
5
5
1
5 11 1 1
, , ,
6 12 4 2
25 60 20
25 30 10
25 15 5
25 5 5
5 1 1
1 1 1
3
3 6.
3
1
1
1
2 ร 2 ร 2 ร 3 ร 5 = 120 LCD 2 ร 2 ร 3 ร 5 ร 5 = 300 LCD
5 9 2 7 2
, , ,
12 14 3 10 2
3
5
7
12 14
6 7
3 7
1 7
1 7
1 1
3 10
3 5
3 5
1 5
1 1
1 1
2 ร 2 ร 3 ร 5 ร 7 = 420 LCD
Add the following fractions and reduce to lowest terms.
5
9
29
5
5 13 10
1 4
+
10.
9. +
8. +
6
32 32
3 5 15
8 16 16
9 + 29 38
6
3
13
12
3
=
=1 =1
+
+
+
32
32
32
16
16
15
6
23
17
7
2
8
2
1
=1
=1
=1 =1
16
16
15
15
6
6
3
7.
5 1
+
6 2
11.
5
1 1
+ +
3 4 12
4
12
3
12
5
+
12
12
=1
12
12.
3
1 3
+ +
4 8 16
4
16
6
16
3
+
16
13
16
13.
11 3 19
+ +
12 5 30
55
60
36
60
38
+
60
129
9
3
=2 =2
20
60
60
SECTION II
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
2
Review Exercises
7
4 2
12
1
1
12
5
15
7
1
16. 13 + 45 + 9
15. 7 + 2 + 1
14. 5 +
5
7
13
7 3
21
2
8
24
6
9
3
27
27
9
21
14
+
2
45
21
24
27
26
5
5
4
7
5 =5+1 =6
+1
+ 9
21
21
21
24
27
13
13
37
31
4
4
10 = 10 + 1 = 11
67 = 67 + 1 = 68
24
24
24
27
27
27
26441_ch02_hr_032-066.indd 47
11/28/18 2:20 PM
48
Chapter 2 โข Fractions
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
17. Chet Murray ran 3 12 miles on Monday, 2 45 miles on Tuesday, and 4 18 miles on Wednesday. What
was Chetโs total mileage for the 3 days?
20
1
Monday 3 = 3
2
40
32
4
Tuesday 2 = 2
40
5
5
1
Wednesday 4 = + 4
8
40
57
17
17
9 = 9 + 1 = 10
Total miles
40
40
40
18. Crate and Barrel shipped three packages to New York weighing 45 15 , 126 34 , and 88 38 pounds.
What was the total weight of the shipment?
8
1
45 = 45
40
5
3
30
126 = 126
4
40
3
15
+ 88 = + 88
8
40
13
53
13
259 = 259 + 1 = 260
Pounds
40
40
40
3
pounds of yams and 4 13 pounds of corn. What is the total
19. At the Fresh Market, you buy 6 10
weight of the purchase?
9
3
= 6
10
30
10
1
+ 4 = +4
3
30
19
10
30
6
Pounds
20. BrewMasters Coffee Co. purchased 12 12 tons of coffee beans in January, 15 45 tons in February,
7
and 34 10
tons in March. What was the total weight of the purchases?
5
1
12 = 12
2
10
8
4
February
15 = 15
10
5
7
7
March + 34 = +34
10
10
20
61 = 61 + 2 = 63 Tons
10
January
Subtract the following fractions and reduce to lowest terms.
21.
5 1
โ
6 6
4 2
= =
6 3
3
1
โ4
3
5
9
5
= 12 โ 4
15
15
4
=8
15
25. 12
22.
2 1
โ
5 8
5
16
11
โ
=
=
40 40 40
23.
3
1
9
3
โ
โ
24.
4 12
4 16
9
3
12
9
8
2
1
=
โ
=
=
โ
=
=
16 16 16
12 12 12 3
1
2
4
4
โ5
27. 28 โ 1
4
3
9
5
3
8
20
36
=8 โ5
= 28 โ 1
12
12
45
45
29
15
8
65
36
7
=7 โ5 =2
= 27 โ 1 = 2 6
12
12
12
45
45
45
26. 8
1
1
โ4
3
6
5
7
1
2
1
2
2
= 12 โ 4 = 11 + 1 โ 4 = 11 โ 4 = 7
6
6
6
6
6
6
6
28. 12
Not For Sale
26441_ch02_hr_032-066.indd 48
11/28/18 2:20 PM
Not For Sale
SECTION II โข Addition and Subtraction of Fractions
49
29. Casey McKee sold 18 45 of his 54 23 acres of land. How many acres does Casey have left?
10
25
2
54 = 54 = 53
3
15
15
4
12
12
โ18 = โ18 = โ18
5
15
15
13
35
Acres left
15
30. A particular dress requires 3 14 yards of fabric for manufacturing. If the matching jacket requires
5
yard less fabric, how much fabric is needed for both pieces?
6
1
8
1
+
2
5
1
8
1
3
6
22 = 22
4
8
5
5
Poundsโjuice
โ 1 =โ 1
8
8
1
Poundsโweight lost after thawing and removing giblets and 21
neck Pounds
8
and removing giblets and necks
Poundsโgiblets and neck
Bochkarev Photography/Shutterstock.com
31. Robert Burkart bought a frozen, factory-processed turkey that included the giblets and neck.
The package weighed 22 34 pounds. Robert thawed the bird and then removed and weighed
the giblets and neck, which totaled 1 18 pounds. The liquid that he drained from the package
weighed 12 pound. How much did the turkey weigh going into the oven?
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
39
13
3
1
1
=
3 = 3
3 =
4
4
12
4
12
5
5
10
5
5
โ = โ =โ
+2 = +2
12
12
12
6
6
29
5
8
2
=2
Yards for jacket
5 =5
Total yards for both pieces
12
12
12
3
32. Brady White 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 = 196
2
8
3
3
โ 191 = โ 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 = 191 = 190
8
8
8
3
6
6
โ183 = โ 183 = โ 183
4
8
8
5
7 Pounds
8
33. Hot Shot Industries manufactures metal heat shields for light fixture assemblies. What is the
length, x, on the heat shield?
5
1
8
5
+1
8
10
2
1
2 =3 =3
8
8
4
26441_ch02_hr_032-066.indd 49
17
1
5 = 4
16
16
1
4
โ3 = โ3
4
16
13
1
Inches
16
1
5
inches
8
x
5
1
5
inches
8
1
inches
16
11/28/18 2:21 PM
50
Chapter 2 โข Fractions
34. Tim Kenney, 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
20
5
3
15
+9 = +9
4
20
31
11
= 16 Gallons
15
20
20
6
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
= 16
20
20
3
12
+ 8
=+ 8
20
5
23
3
24 = 25 Gallons
20
20
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
16
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
ร 23
$598 Total cost of paint
iStock.com/
MarsBars
BUSINESS DECISION: THE RED-EYE EXPRESS
35. You are an executive with the Varsity 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 2 12 -hour flight from Atlanta to Dallas, a 1 14 -hour layover in Dallas, and
then a 3 34 -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?
3
3
1
1
1 3
2 + 1 + 3 + 1 + = 9 Hours
2
4
4
2 4
4
3
11:30 P.M. + 9 hours โ 3-hour time difference = 6:15 A.M.
4
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. + 9 hours + 3-hour time difference = 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 = 40 minutes
3
10:55 A.M. + 40 minutes = 11:35 A.M.
SECTION III
2
Multiplication and Division of Fractions
Not For Sale
In addition and subtraction, we were concerned with common denominators; however, in
multiplication and division, common denominators are not required. This simplifies the
ยญprocess considerably.
26441_ch02_hr_032-066.indd 50
11/28/18 2:21 PM
54
Chapter 2 โข Fractions
In this example, we have a mixed number that must be converted
to the improper fraction 73
and the whole number 3, which
6
converts to 31 .
73 3
1
รท
c. 12 รท 3 =
6
6 1
73 1
ร
3
6
The fraction 31 is the divisor and must be inverted to its
reciprocal, 13 . The sign is changed from โรทโ to โร.โ
73 1 73
1
=4
ร =
18
6 3 18
The answer is the improper fraction 73
, which converts to
18
1
the mixed number 4 18
.
Try ItE xe r ci se 16
Divide the following fractions and mixed numbers.
14 4
รท
25 5
b. 11
3
2
รท8
3
16
c. 18 รท 5
3
5
C H E C K Y O U R A N S W E R S W I T H T H E S O L U T I O N S O N P A G E 6 2.
SECTION III
2
Review Exercises
Multiply the following fractions and reduce to lowest terms. Use cancellation whenever
possible.
8
2 4
1. ร =
3 5 15
16 5 10
ร =
19 8 19
Marketing Research Market and
survey researchers gather information
about what people think. They help
companies understand what types
of products and services people
want and at what price. By gathering
statistical data on competitors and
examining prices, sales, and methods
of marketing and distribution,
they advise companies on the most
efficient ways of marketing their
products.
According to the U.S. Bureau of
Labor Statistics, overall employment
of market and survey researchers is
projected to grow 23% from 2016
to 2026. Median annual salaries
for market researchers in 2017
was $63,230.
25 2 10
ร =
51 5 51
7.
1
1
1
13
41 8 328
ร =
= 21
5 3
15
15
4
2
ร5 ร9
3
5
5
1
1
1
1
1
1
1
10. 1 2 4 3 5 1
ร ร ร ร = =1
2 3 5 4 1 1
1
12.
3
8 33 4 12
2
ร
ร =
=2
11 40 1
5
5
1
1
2
1
7 1 4 1
4. ร ร =
8 3 7 6
1 4 2
3. ร =
2 9 9
1
5
6.
1
1
2
9. 8 ร 2
3
5
2
5 10
2
ร =
2.
11 7 77
2
5.
ESB Professional/Shutterstock.com
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
a.
2
8.
2
2 2 6 8
ร ร = =2
3 3 1 3
3
1
11.
1 1 1
1
ร ร =
5 5 5 125
3
4
2 29 9 174
ร
ร =
= 34
3
1
5
5
5
1
13. A recent market research survey showed that 38 of the people interviewed preferred decaffeinated
coffee over regular.
a. What fraction of the people preferred regular coffee?
8 3 5
โ = Preferred regular
8 8 8
b. If 4,400 people were interviewed, how many preferred regular coffee?
550
4,400 5 2,750
ร =
= 2,750 People preferred regular
1
8
1
1
14. Wendy Wilson planned to bake a triple recipe of chocolate chip cookies for her office party. If
the recipe calls for 1 34 cups of flour, how many cups will she need?
3
1
1 ร 3 = 5 Cups
4
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?
5 19 37 703
15
1
ร
=
= 43 Cubic yards of gravel
9 ร4 =
2
8
2
8
16
16
Not For Sale
26441_ch02_hr_032-066.indd 54
11/28/18 2:21 PM
Not For Sale
SECTION III โข Multiplication and Division of Fractions
55
16. Melissa Silva 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 3 1,800
ร =
= $1,800 Already paid
7
1
1
1
4,200 Total
โ 1,800
$2,400 Still owed
17. Amy Richardsโ movie collection occupies 58 of her computerโs hard drive. Her photography takes
up 16 of the drive. The operating system, application software, and miscellaneous files take up
1
another 12
of the drive. If her hard driveโs capacity is 120 gigabytes, how many gigabytes of free
space remain on the hard drive?
1
15 + 4 + 2 21 7
5 1
+ + 1 =
=
= Capacity used โโโ ร 120 = 15 Gigabytes free space
8 6 12
24
24 8
8
18. Three partners share a business. Max owns 38 , Sherry owns 25 , and Duane owns the rest.
If the profits this year are $150,000, how much does each partner receive?
18,750
30,000
Sherry 150,000 ร
2
5
=
150,000
1
ร
2
5
60,000
=
1
1
Duane
= $60,000
56,250 150,000
+ 60,000 โ 116,250
116,250 $33,750
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
56,250
3 150,000 ร 3 =
= $56,250
Max 150,000 ร =
1
8
1
8
1
Divide the following fractions and reduce to lowest terms.
19.
5 3
รท
6 8
20.
4
2
2
3
23.
24.
2
5 3 15
1
ร =
=7
1 2
2
2
1 6 2
ร =
3 5 5
1
4 7
รท
5 8
26. 21
1
4
รท5
2
5
2
17
24 8 192
ร =
=5
7
5
35
35
28. 12 รท 1
1 5
รท
3 6
86
43
8
4
=
=2
ร
2
29 29
29
1
3
5
29.
3
15 7
รท
60 10
1
12 5 15
1
ร =
=7
1
8
2
2
5
15 10 15
=
=
ร
7
42 14
60
2
6
3 2
รท
5 7
3 7 21
1
=2
ร =
10
5 2 10
5 7
7
1
ร = =3
10 1 2
2
3
25. 4
21.
1
5 8 20
2
ร =
=2
6 3
9
9
22. 5 รท
7 1
รท
10 5
9
9
รท
16 16
1
1
1
1
9
16 1
ร
= =1
9
1
16
27. 18 รท
18
19
1
18 19 19
ร
= 19
=
1
18
1
1
30. 1
1
รท 10
5
3
3
6
1
ร
=
5 10 25
5
23
2
1
1
46
3 253 11 253
4
1
126 รท 2 =
รท
=
= 46 Homesites
ร
=
2
4
2
4
2
11
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
219
9
3
2 365 50 365
รท
=
ร
= 21
365 รท 16 =
=
Miles per gallon
3
1
3
1
10
10
50
Grzegorz Czapski/Shutterstock.com
31. Frontier 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?
10
26441_ch02_hr_032-066.indd 55
11/28/18 2:21 PM
56
Chapter 2 โข Fractions
b. How many gallons would be required for the car to travel 876 miles?
4
9
876 219 876
10
40
876 รท 21 =
รท
=
ร
= 40 Gallons
=
10
1
10
1
219
1
1
33. Pier 1 Imports purchased 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
ร =
= 240 Baskets sold first week
1
1
5
1
3
b. By the third week, only 20
of the baskets remain. How many baskets are left?
30
90
3
600
ร
= 90 Baskets left third week
=
1
20
1
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
1
34. At the Cattlemanโs Market, 3 12 pounds of hamburger meat are to be divided into 7 equal
packages. How many pounds of meat will each package contain?
3
7 1 1
1
รท 7 = ร = Pound
2
2 7 2
35. Super Value Hardware Supply 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?
37
518 รท 2
5
185
4 518 14 518
รท
ร
= 185 Boxes
=
=
=
1
1
14
1
5
5
1
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.)
320
140 lb
640
1 2, 240 21 2,240
1
2
รท
=
ร
= 213 = 213 Dinners
ร 16 oz
โโ2,240 รท 10 =
=
2
1
2
1
21
3
3
3
2,240 Total ounces
37. 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?
34
55
1
1
1
3 5 275 5 275 8
รท =
รท =
ร = 55 Signs
8 8
8
8
8
5
38. Engineers at Triangle 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.
a. How many circuit boards can be made from each roll?
40
5
200
1 840 21 840
840 รท 4 =
รท
ร
= 200 Circuit boards
=
=
1
1
21
1
5
5
1
b. What is the cost of wire per circuit board?
1,200 รท 200 = $6 Each
Not For Sale
26441_ch02_hr_032-066.indd 56
11/28/18 2:21 PM
Not For Sale
SECTION III โข Multiplication and Division of Fractions
57
39. At Celtex Manufacturing, a chemical etching process reduces 2 13
-inch copper plates by 35
of an
64
16
inch.
a. What is the thickness of each copper plate after the etching process?
13
52
2
16
64
35
35
โ
โ
64
64
17
2
Inches
64
2
b. How many etched copper plates can fit in a box 25 inches high?
5
25 รท 2
64
320
17 25 145 25
1
รท
ร
= 11
=
=
=
= 11 Plates
1
1
29
29
64
64
145
40. You are the owner of The Gourmet Diner. On Wednesday nights, you offer a special of โBuy
one dinner, get one free dinnerโof equal or lesser value.โ Michael and Wayne come in for the
special. Michael chooses chicken Parmesan for $15, and Wayne chooses a $10 barbecue-combo
platter.
a. Excluding tax and tip, how much should each pay for his proportional share of the check?
15 3
=
25 5
10 2
Wayne
=
25 5
Michael
3
ร 15 = $9
5
2
ร 15 = $6
5
b. If sales tax and tip amount to 15 of the total of the two dinners, how much is that?
1 25
ร
= $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
ร 5 = $3
5
2
ร 5 = $2
5
26441_ch02_hr_032-066.indd 57
ยฉ Cengage Learning, Inc. This content is not final and may not match the published product.
BUSINESS DECISION: DINNER SPECIAL
iStock.com/
MarsBars
29
11/28/18 2:21 PM

## Document Preview (11 of 363 Pages)

You are viewing preview pages of the document. Purchase to get full access instantly.

-37%

### Solution Manual For Contemporary Mathematics for Business and Consumers, 9th Edition

$18.99 ~~$29.99~~Save:$11.00(37%)

24/7 Live Chat

Instant Download

100% Confidential

Store

##### Benjamin Harris

0 (0 Reviews)

## Best Selling

The World Of Customer Service, 3rd Edition Test Bank

$18.99 ~~$29.99~~Save:$11.00(37%)

Chemistry: Principles And Reactions, 7th Edition Test Bank

$18.99 ~~$29.99~~Save:$11.00(37%)

Data Structures and Other Objects Using C++ 4th Edition Solution Manual

$18.99 ~~$29.99~~Save:$11.00(37%)

Solution Manual for Designing the User Interface: Strategies for Effective Human-Computer Interaction, 6th Edition

$18.99 ~~$29.99~~Save:$11.00(37%)

2023-2024 ATI Pediatrics Proctored Exam with Answers (139 Solved Questions)

$18.99 ~~$29.99~~Save:$11.00(37%)

Test Bank for Hospitality Facilities Management and Design, 4th Edition

$18.99 ~~$29.99~~Save:$11.00(37%)