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Name
Date
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Date
Class
Class
Practice C
LESSON
4-7 Mixed Numbers and Improper Fractions
Write each mixed number as an improper fraction.
5
2
1. 2!5!
3
2. 1!1!
0
5
3. 6!4!
9
2
4. 2!9!
5. 14!3!
6. 2!11!
Write each improper fraction as a mixed number or whole
number. Tell whether your answer is a mixed number or whole
number.
161
7. !7!
225
10. !9!
73
8. !4!
52
9. !9!
23 4
11. !11!
127
!
12. !
12
Replace each shape with a number that will make the equation
correct.
2
93
13. ▲!7! ! !♦!
▲
647
! ! !!
16. 43!15
♦
3
67
14. ▲!8! ! !♦!
▲
124
17. 13!9! ! !♦!
4
64
15. ▲!5! ! !♦!
▲
113
18. 14 !8! ! !♦!
19. Amy made a video that is 5,400 seconds long. What is the
video’s running time in hours and minutes?
20. Justin accidentally erased the numerator of the fraction part of a
mixed number. He knows that its whole number part is 45 and
the denominator of the fraction part is 9. He also knows that
when the mixed number is written as an improper fraction, its
numerator is 412. What is the numerator that Justin erased?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
68
Holt Middle School Math Course 1
Practice A
4-7 Mixed Numbers and Improper Fractions
Exploration Recording Sheet
4-7 Mixed Numbers and Improper Fractions
LESSON
LESSON
Determine whether each fraction is proper or improper.
An improper fraction is equal to or greater than 1. The model shows
7
4
3
3
that !4! ! !4! " !4! ! 1 " !4!.
1
4
1
1. !4!
1
4
1
4
1
4
1
4
1
4
7
4
1
4
9
4. !3!
1
3
3
The mixed number 1!4! ! 1 " !4!.
1
3
1
6
7
2. !6!
1
3
1
1
6
1
6
1
3
1
6
2
5. !3!
improper
1
1
4
1
3
1
6
1
6
1
4
1
3
2
1
1!3!
1
6
1
4
1
4
5
!!
4
2 4
4 4
2
4
1
2
6
4
5
!!
3
4
15. !3!
7
!!
3
5
16. !2!
1
1!3!; mixed number
2; whole number
1
2!2!; mixed number
4
4
12. 2 !3!
6
14. !3!
4; whole number
1
1!2!
1
6
4
5
!!
2
1
11. 1!3!
13. !1!
1
4
1
Write each improper fraction as a mixed number or whole
number. Tell whether your answer is a mixed number or whole
number.
1
Think and Discuss
6
improper
9. 2!2!
4
!!
3
2
10. 1!4!
1!6!
11
4. Explain why !4! ! 1!2!.
proper
8. 1!3!
3
!!
2
4
1
4
improper
6
6. !2!
1
7. 1!2!
11
6
3. !4!
7
3. !4!
proper
Write each mixed number as an improper fraction.
For each improper fraction, complete the model and write the
improper fraction as a mixed number.
5
1. !3!
3
2. !4!
proper
7
17. !5!
3
18. !2!
2
1!5!; mixed number
1
1!2!; mixed number
12
1
2
Possible answer: !! ! !! " !!; !! ! 1 and !! is the same as !! so !! ! 1!!.
19. Mickey timed her speech at !5! minutes. She cannot go over
2 minutes. Should she add more to her speech, or cut some
lines? Explain.
12
5
5. Discuss a situation in which improper fractions are used.
2
5
She should cut some lines because !! ! 2!! minutes,
Possible answer: Measuring snow or rainfall amounts
which is longer than 2 minutes.
1
20. In a frog-jumping contest, Jim’s frog hopped 2!3! feet.
2
7
Matthew’s frog hopped 1!3! feet. Whose frog hopped !3! feet?
Jim’s frog
65
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math Course 1
Practice B
4-7 Mixed Numbers and Improper Fractions
LESSON
Write each mixed number as an improper fraction.
1
1
7
!!
2
3
4. 1!7!
3
7. 2!5!
2. 2!3!
3
10
!!
7
13
!!
5
5. 3!4!
5
8. 3!6!
Write each mixed number as an improper fraction.
1
3. 5!4!
7
!!
3
1
9. 7!3!
23
!!
6
17
2
5!3!; mixed number
33
!
13. !10
3
3!1!
; mixed number
0
104
16. !8!
13; whole number
40
11. !8!
5
13
!!
3
50
14. !8!
1
6!4!; mixed number
121
17. !6!
1
20!6!; mixed number
23
!!
9
27
!!
4
9
2
5. 14!3!
161
7. !7!
6. 2!11!
44
!!
3
73
8. !4!
225
31
!!
11
6
83
15. !9!
2
9!9!; mixed number
78
18. !11!
1
7!1!
; mixed number
1
25; whole number
7
5!9!; mixed number
23 4
11. !11!
10. !9!
6!7!; mixed number
52
9. !9!
1
18!4!; mixed number
23; whole number
19. The hotel ordered an extra-long rug for a hallway that is
123
!! feet long. What is the rug’s length in feet and inches?
2
Remember, 1 foot ! 12 inches.
127
!
12. !
12
3
21!1!
; mixed number
1
7
10!1!
; mixed number
2
Replace each shape with a number that will make the equation
correct.
2
93
3
13. ▲!7! ! !♦!
13; 7
▲
67
14. ▲!8! ! !♦!
8; 8
647
▲
! ! !!
16. 43!
15
♦
124
17. 13!9! ! !♦!
2; 15
7; 9
4
64
15. ▲!5! ! !♦!
12; 5
▲
113
18. 14 !8! ! !♦!
1; 8
19. Amy made a video that is 5,400 seconds long. What is the
video’s running time in hours and minutes?
1 hour and 30 minutes
61 feet and 6 inches
20. Justin accidentally erased the numerator of the fraction part of a
mixed number. He knows that its whole number part is 45 and
the denominator of the fraction part is 9. He also knows that
when the mixed number is written as an improper fraction, its
numerator is 412. What is the numerator that Justin erased?
20. During this year’s football-throwing contest, John threw the ball
2
153
49!3! feet. Sharon threw the ball 51 feet. Who threw the ball !3!
feet?
Sharon
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
3
3. 6!4!
15
!!
10
Write each improper fraction as a mixed number or whole
number. Tell whether your answer is a mixed number or whole
number.
22
!!
3
48
12. !7!
5; whole number
2. 1!1!
0
12
!!
5
4. 2!9!
Write each improper fraction as a mixed number or whole
number. Tell whether your answer is a mixed number or
whole number.
10. !3!
5
2
1. 2!5!
21
!!
4
1
6. 4!3!
15
!!
4
Holt Middle School Math Course 1
Practice C
4-7 Mixed Numbers and Improper Fractions
LESSON
1. 3!2!
66
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
7
67
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math Course 1
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
116
68
Holt Middle School Math Course 1
Holt Middle School Math Course 1