Practice B Equivalent Fractions and Mixed Numbers 3-8

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Name
LESSON
4
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Date
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Practice B
3-8 Equivalent Fractions and Mixed Numbers
Find two fractions equivalent to each fraction.
2
1. 9
8
2. 1
5
7
3. 8
16
4. 24
12
5. 20
9
6. 1
2
Rewrite the fractions with a common denominator.
Then determine if they are equivalent.
8
12
7. 1
and 15
0
7
9
10. 4 and 5
8
6
8. 8 and 12
3
4
9. 9 and 8
15
20
and 11. 12
16
15
30
12. 9 and 18
Write each improper fraction as a mixed number.
Write each mixed number as an improper fraction.
21
13. 8
37
14. 4
16
15. 5
7
2
17. 83
49
16. 9
3
18. 11
2
5
19. 254
20. 76
3
21. Maria’s desk is 334 inches long. Write this number as an
improper fraction.
5
10
22. Leon walked 8 mile. Liz walked 1
mile. Did they walk
6
the same distance?
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Holt Middle School Math Course 2
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Practice C
3-8 Equivalent Fractions and Mixed Numbers
Practice B
3-8 Equivalent Fractions and Mixed Numbers
LESSON
LESSON
Find two fractions equivalent to each fraction. Possible
4 6
, 18 27
2
1. 9
2 32
, 3 48
16
4. 24
8
6
8. 8 and 1
2
24 24
, ; yes
30 30
7
9
35 36
, ; no
20 20
60 60
, ; yes
48 48
2
17. 83
5
28
1
94
37
14. 4
26
3
7
18. 11
2
1
35
19
12
103
4
3
19. 254
38
25
and 12. 15
10
96 96
, ; yes
18 18
1
67
43
13. 7
4
2
55
27
14. 5
127
5
2
17. 255
47
6
5
20. 76
36 36
, ; yes
48 48
76 75
, ; no
30 30
Write each improper fraction as a mixed number. Write each
mixed number as an improper fraction.
59
49
16. 9
given.
18
12
and 9. 24
16
32
48
11. 6 and 9
35 36
, ; no
40 40
30 30
, ; yes
18 18
16
15. 5
9
7
9 18
, 8 16
1
20 27
, ; no
36 36
10. 8 and 1
0
15
30
12. 9 and 18
28 42
, 50 75
6. 18
9
10
and 8. 12
18
40 36
, ; no
60 60
24 36
, ; no
72 72
Write each improper fraction as a mixed number.
Write each mixed number as an improper fraction.
21
13. 8
14
3. 25
5 10
, 1 2
5. 5
10
12
and 7. 15
20
given.
3
4
9. 9 and 8
15
20
and 11. 12
16
9 36
, 10 40
18
4. 20
answers given.
22 33
, 30 45
11
2. 15
Rewrite the fractions with a common denominator.
Then determine if they are equivalent. Possible answers
18 16
, ; no
24 24
10. 4 and 5
14 21
, 24 36
7
1. 12
3 18
, 4 24
9
6. 12
Rewrite the fractions with a common denominator.
Then determine if they are equivalent. Possible answers
8
12
and 7. 10
15
14 21
, 16 24
7
3. 8
3 24
, 5 40
12
5. 20
Find two fractions equivalent to each number. Possible
answers given.
16 24
, 30 45
8
2. 1
5
106
9
7
18. 119
7
68
55
15. 8
59
12
11
19. 4
12
3
71
1
80
16. 11
85
16
5
20. 5
16
21. Write an improper fraction and a mixed number to represent
139 inches in feet.
3
21. Maria’s desk is 334 inches long. Write this number as an
improper fraction.
139
7
, 11
12
12
135
4
1
22. A baker used 52 2 cups of flour to make 15 loaves of bread.
How many quarter cups of flour were used?
5
10
mile. Did they walk
22. Leon walked 8 mile. Liz walked 16
210 quarter cups
the same distance?
yes
74
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Holt Middle School Math Course 2
Reteach
3-8 Equivalent Fractions and Mixed Numbers
Reteach
3-8 Equivalent Fractions and Mixed Numbers (continued)
Equivalent fractions name the same number.
• You can use fraction strips to find equivalent fractions.
Find the cross products. Determine if the two fractions are
equivalent. Write yes or no.
1
8
1
8
1
8
1
8
1
8
1
8
1
8
1
8
1
8
1
8
1
8
1
8
54; 60; no
6
First, use fraction strips to model 8.
1
4
3
12
6
and are equivalent to .
4
16
8
1
4
6
8
3
4
1
4
1 1 1 1 1 1 1 1 1 1 1 1
16 16 16 16 16 16 16 16 16 16 16 16
12
16
2
4
2
8
1
2. 4
2
3. 5
12
15
4
10
2
4. 3
11
5
part and a fraction part, such as 28.
• To write an improper fraction as a
mixed number, you can write the
improper fraction as a sum of
fractions.
4
6
13
8
12
and are equivalent. Their cross products are equal.
10
15
9
2
9 3 15 2
15
3
1
27 30
6
3
and 10
5
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3
6
and 4
8
76
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All rights reserved.
23
14. 5
answers given.
14
8. 21
10
15
and 16
24
5
16
5
21
2
1
13. Write 35 as an improper fraction.
1
34
2
3
35 2
5
15
2
5
17
5
5
1
Write each improper fraction as a mixed number.
9
2
and are not equivalent. Their cross products are not equal.
15
3
5
7. 8
5
28 2 8 8 8 8
12. Write 4 as a mixed number.
4
4
4
1
13
4
4
4
4
4
30
6. 40
• To write a mixed number as an
improper fraction, you can write the
whole number as a fraction with the
same denominator as the fraction part.
1 + 1 + 1
8 5 10 12
Find two fractions equivalent to each fraction. Possible
24; 27; no
the denominator, such as 3.
A mixed number is made up of both a whole number
120 120
12
5. 20
90; 90; yes
11
3
3
3
2
2
3
3
3
3
3
3
• You can use cross products to determine if two fractions are equivalent.
8
10
9
2
11. 3 and 12
In an improper fraction the numerator is greater than
Use fractions strips to find a fraction equivalent to each
fraction. Possible answers given.
1
1. 2
6
9
10. 1
and 0
15
18
10
9. 6 and 3
6
Then find equivalent fractions by placing
other fraction strips with the same length
below the model.
Holt Middle School Math Course 2
LESSON
LESSON
Find two fractions equivalent to 8.
75
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3
45
15
15. 8
7
18
54
16. 7
5
77
14
17. 3
2
43
Write each mixed number as an improper fraction.
2
28
and 3
42
1
18. 52
Holt Middle School Math Course 2
11
2
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123
3
19. 38
27
8
11
20. 2
15
77
41
15
3
21. 84
35
4
Holt Middle School Math Course 2
Holt Middle School Math Course 2