Practice C 5-2 - Kyrene School District

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Practice C
5-2 Multiplying Mixed Numbers
Multiply. Write each answer in simplest form.
5
2
1. 9 • 27
11 6
• 2. 1
12 7
4 7
3. 29 • 8
4. 33 • 5
2
3
13
3
• 1
5. 14
4
• 6. 2
10 6
7
3
8. 37 • 10
2
7. 18 • 5
3
3
2
5
8
9. 43 • 9
Find each product. Write each answer in simplest form.
10
3
1
9
3
1
• 2 • 3
12. 12
5
4
4 4
1
11. 27 • 5 • 12
• 3 • 2
10. 11
7
4
7
13. 65 • 10 • 35
2
1
6
14. 19 • 5 • 51
0
8
7
15. 27 • 19 • 8
Evaluate each expression for the given value of each variable.
3
3
4
16. 4 • c for c 45
• x for x 2
17. 1
10
3
2
5
18. 9 • h for h 36
3
7
19. 4 • q for q 28
3
20. A train travels at 1101
miles per
0
hour. At this rate, how far will the
1
train travel in 22 hours?
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2
1
5
21. A sandbox is 13 feet tall, 18 feet
1
wide, and 42 feet long. How many
cubic feet of sand is needed to fill
the box?
(Volume length • width • height)
19
Holt Middle School Math Course 1
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5-2 Multiplying Mixed Numbers
Practice C
5-2 Multiplying Mixed Numbers
LESSON
LESSON
1
1
1
To find 3 of 22, first change 22 to an improper fraction.
Multiply. Write each answer in simplest form.
5
2
1. 9 • 27
11 6
• 2. 1
12 7
9
11
4
17
16
3
2
3
1
3
11
18
3
2
7. 18 • 5
11
2
3
2
8. 37 • 10
1
1 5
The problem is now 3 • 2.
1•5
5
3•2
6
1
1
5
So, 3 • 22 is 6.
8
9. 43 • 9
4
69
70
18
42
7
Rewrite each mixed number as an improper fraction. Is it
possible to simplify before you multiply? If so, what is the
GCF?
Find each product. Write each answer in simplest form.
10
3
• 3 • 2
10. 11
7
3
18
67
7
1
9
3
1
• 2 • 3
12. 12
5
4
4 4
1
11. 27 • 5 • 12
4
7
13. 65 • 10 • 35
68
0
1
2
6
14. 19 • 5 • 5
10
3
2355
1
1
1. 4 • 13
27
33
5
8
13
41
8
Evaluate each expression for the given value of each variable.
3
3
4
16. 4 • c for c 45
2
6. 12 • 13
7. 14 • 22
4 5
• 3 3
3 4
• 2 3
7 5
• 4 2
5
1
1
1
2
1
1
3
10. 22 • 5
6
3
1
39
1
1
11. 14 • 22
1
2
13
2
8. 16 • 23
7 8
• 48
2
1
5
21. A sandbox is 13 feet tall, 18 feet
1
wide, and 42 feet long. How many
cubic feet of sand is needed to fill
the box?
(Volume length • width • height)
3
4
3
7
15
3
9. 33 • 5
1
3
1
7
5
1
3 •
3
16
2
23
2
miles per
20. A train travels at 11010
hour. At this rate, how far will the
1
train travel in 22 hours?
1
29
3
7
19. 4 • q for q 28
23
27
3
2
1
8 •
5. 13 • 13
31
5
2
5
18. 9 • h for h 36
5
2
1
6 •
1
2
4. 3 • 15
5
12
7
3
35
1
1
3. 8 • 12
1
3
1
2
17. 11
• x for x 23
0
1
1
2. 6 • 22
4
3
1
4 •
7
15. 27 • 19 • 8
47
37
5
5
Check to see if you can divide by the GCF to make the problem
simpler. Then multiply the numerators and multiply the
denominators.
5
• 6. 2
10 6
5
25
1
22 2
Then multiply as you would with two proper fractions.
5
23
6
13
3
• 1
5. 14
4
4. 33 • 5
7
4 7
3. 29 • 8
1
12. 33 • 15
3
48
4
3
4
275 miles
9 cubic feet of sand
19
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Holt Middle School Math Course 1
Challenge
5-2 And They’re Off!
20
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Course 1
Problem Solving
5-2 Multiplying Mixed Numbers
LESSON
LESSON
Like many sports, horse racing uses a special system of
measurement. Horse races are measured in units called furlongs.
Use the recipe to answer the questions.
1
1. If you want to make 2 2 batches,
how much flour would you need?
1
One furlong equals 8 mile. The races described below have
different furlong lengths, but they all offer the same prize money to
their winners—$1,000,000!
CHOCOLATE CHIP COOKIES
Servings: 1 batch
1
6
4 cups
Write the length in miles of each of these horse races in
simplest form.
2
1 3 cups flour
3
teaspoon baking soda
4
1
cup white sugar
2
1
23 cups semisweet chocolate chips
1
cup brown sugar
2
3
cup butter
4
1
2. If you want to make only a 12
batches, how much chocolate chips
would you need?
1. Santa Anita Derby, California
1
2
3 cups
1
3. You want to bake 34 batches. How
much vanilla do you need in all?
1
Race Length: 9 furlongs
Holt Middle School Math
18 miles
Length in Miles:
1
16
4 teaspoons
2. Kentucky Derby, Kentucky
1 egg
1
14 teaspoons vanilla
1
1
Race Length: 10 furlongs
Length in Miles:
4. If you make 14 batches, how much
baking soda would you need?
14 miles
5. How many cups of white sugar do you
1
need to make 32 batches of cookies?
3
4
15
teaspoon
16
3. Preakness Stakes, Maryland
1 cups
Choose the letter for the best answer.
1
Race Length: 92 furlongs
1
3
Length in Miles:
11
miles
6
Length in Miles:
12 miles
6. Dan used 24 cups of butter to make
chocolate chip cookies using the
above recipe. How many batches of
cookies did he make?
A 3 batches
B 4 batches
C 5 batches
D 6 batches
4. Belmont Stakes, New York
1
Race Length: 12 furlongs
7. One bag of chocolate chips holds
2 cups. If you buy five bags, how
many cups of chips will you have left
1
over after baking 22 batches of
cookies?
1
F 46 cups
5
G 56 cups
1
H 23 cups
5. Breeders’ Cup Juvenile, New York
1
J 3 cup
1
Race Length: 82 furlongs
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All rights reserved.
1
Length in Miles:
21
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
116 miles
Holt Middle School Math Course 1
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
113
22
Holt Middle School Math
Holt Middle School Math
Course 1
Course 1