Download Problem Solving 3-4

Name
LESSON
Date
Class
Problem Solving
3-4 Equivalent Fractions and Mixed Numbers
Write the correct answer.
1. Bert bicycles 136 miles each week. If
he bikes the same distance daily and
bikes each day of the week, how
many miles does he bike each day?
Write your answer as a mixed number.
2. The Eiffel Tower in Paris, France, was
designed so well that even in the
highest winds the tower never sways
1
more than 42 inches. Write two
1
fractions that are equivalent to 42.
3. In October 2000, almost 13 inches of
rain fell in Miami, Florida, in a
24-hour period. Write a fraction that
1
shows about how many 4 inches of
rain fell on that one day.
4. Elena is 58 inches tall. Write a mixed
number to represent her height in feet.
Choose the letter for the best answer.
5. Randi runs 48 miles each week. She
runs the same distance daily and runs
each day of the week. How many
miles does she run each day? Write
your answer as a mixed number.
7
6
C 64
miles
8
5
D 77 miles
A 67 miles
B 66 miles
3
6. A bakery used 44 cups of salt to
make 120 loaves of sourdough
bread. Write a fraction that shows
1
how many 4 cups of salt were used
to make the bread.
1
7. One of the driest summers in the
Northeast was in 1909, with
896
inches of precipitation. Which
100
896
?
mixed number is equivalent to 100
6
A 891
0
24
C 825
96
B 810
4
D 85
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
30
F 4 cups
12
H 4 cups
24
G 4 cups
19
J 4 cups
8. The Central Ohio Transit Authority
3
has 9575 miles of routes. Which
3
fraction is equivalent to 9575?
38
4,781
F 5
4,783
H 5
4,788
G 5
9,573
J 5
Holt Mathematics
Problem Solving
3-4 Equivalent Fractions and Mixed Numbers
Challenge
3-4 Target Practice
LESSON
LESSON
Write the correct answer.
Find out where the dart lands on the dartboard. Cross out the
fraction, improper fraction, or mixed number on the dartboard
that is equivalent to each number below. The dart lands on the
number that is left.
1. Bert bicycles 136 miles each week. If
he bikes the same distance daily and
bikes each day of the week, how
many miles does he bike each day?
Write your answer as a mixed number.
2 45
19 miles
6 23
3. In October 2000, almost 13 inches of
rain fell in Miami, Florida, in a
24-hour period. Write a fraction that
1
shows about how many 4 inches of
rain fell on that one day.
2
3
35
70
54
10
3 34
9 18
; Possible answer: 2 4
3
7
19
6
6
27
2. The Eiffel Tower in Paris, France, was
designed so well that even in the
highest winds the tower never sways
1
more than 42 inches. Write two
1
fractions that are equivalent to 42.
23
8
1 12
7
10
4. Elena is 58 inches tall. Write a mixed
number to represent her height in feet.
52
4 inches
45
6 feet
5 13
42
5
1
4
15
45
Choose the letter for the best answer.
5. Randi runs 48 miles each week. She
runs the same distance daily and runs
each day of the week. How many
miles does she run each day? Write
your answer as a mixed number.
12
20
A
8
18
7
6
C 64
miles
8
5
D 77 miles
67 miles
1
B 66 miles
32
1. 6
14
2. 20
12
3. 8
3
4. 5
7
28
6. 10
16
7. 36
50
8. 75
2
9. 9
20
10. 3
5
11. 15
12. 36
3
13. 1
2
14. 55
2
45
15. 12
1
16. 2
5. 28
3
6. A bakery used 44 cups of salt to
make 120 loaves of sourdough
bread. Write a fraction that shows
1
how many 4 cups of salt were used
to make the bread.
7. One of the driest summers in the
Northeast was in 1909, with
896
inches of precipitation. Which
100
896
?
mixed number is equivalent to 100
6
96
4
B 8
10
12
H 4 cups
24
G 4 cups
19
J 4 cups
8. The Central Ohio Transit Authority
3
has 9575 miles of routes. Which
3
fraction is equivalent to 9575?
24
C 82
5
A 891
0
1
30
F 4 cups
D 85
4,781
F 5
4,783
H 5
4,788
G 5
9,573
J 5
42
5
17. The dart lands on
37
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
38
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Reading Strategies
3-4 Multiple Meaning Terms
Holt Mathematics
Puzzles, Twisters & Teasers
3-4 Are You in the Dark?
LESSON
LESSON
If you multiply or divide the numerator and denominator of a fraction
by the same number, you get another fraction that is equivalent, or
equal.
Fill in the boxes in the grids to show equivalent fractions. Then
use the Answer Key to answer the riddle.
3
4
2 2
4
• 3 2
6
6
8
In the example above, both the numerator and denominator are
multiplied by 2. Equal fractions are called equivalent fractions.
9
12
=
=
2
4
is equivalent to .
3
6
Answer the following questions.
1
6
1. Is 2 equivalent to 1
?
2
2. How do you know?
1
3
yes
4
12
=
Possible answer: You can multiply both the numerator and denominator
6
by 6 to get 12 .
1
2
6
2
=
3
5
6
10
12
20
no
3. Are 5 and 3 equivalent fractions?
4. How do you know?
=
=
Possible answer: You cannot multiply both 1 and 5 by the same number
to get 2 and 3.
7
1
equivalent to ?
5. Is 15
7
6. How do you know?
2
7
no
4
14
=
Possible answer: You cannot divide both 7 and 15 by the same number
to get 1 and 7.
3
1I
1
7. Is 9 equivalent to 3?
8. How do you know?
yes
2T
=
3S
4A
6E
8R
12D
Why did the tomato blush?
1
3.
Possible answer: You can divide both 3 and 9 by 3 to get Copyright © by Holt, Rinehart and Winston.
All rights reserved.
8
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39
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
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Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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Holt Mathematics
Holt Mathematics