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Name
Date
LESSON
Class
Practice A
5-9 Renaming to Subtract Mixed Numbers
Rename each mixed number by borrowing a 1 from the whole number.
5
1
1. 1!4!
!
2. 8!
12
1
4. 2!3!
5. 7!9!
5
3. 4!9!
1
3
6. 10!7!
Subtract. Write the answer in simplest form.
2
1
7. 2 ! !3!
1
8. 1 ! !4!
5
4
2
10. 2!3! ! 1!6!
11. 1!9! ! !3!
3
1
11
!
14. 2!4! ! !16
4
13. 5!1!
! 1!5!
0
1
1
1
7
9. 5!4! ! 3!2!
12. 2!4! ! 1!8!
1
4
15. 3!3! ! 2!5!
1
5
16. At the pie-eating contest, Dina ate 3!3! pies. Mason ate 2!6! pies.
How much more pie did Dina eat than Mason?
1
17. When Latoya bought her angel fish, it was 1!2! inches long. Now
1
it is 2!3! inches long. How much did her angel fish grow?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
81
Holt Middle School Math Course 1
Exploration Recording Sheet
5-9 Renaming to Subtract Mixed Numbers
Puzzles, Twisters & Teasers
5-8 Work Before Play
LESSON
LESSON
1
Down
5
1
A baker starts the day with 2!4! lemon cakes and sells 1!2! lemon
cakes during the day. How much cake is left over?
1
1. The whole number part of the answer: 7!6! ! 2!2!.
2. When you have ____ denominators,
cake sold # 1
4. you must find the ____.
1
2
4
1
6. The common denominator of 2!5! " 3!2!.
Across
n
1
7
!! " 2!! # 5!!
3
3
9
7
3
3. !3! is the ____ of !7!.
1. Solve for n.
5
1
5. The fractional part of the answer: 7!6! ! 2!2!
3
O U R
I
N
V
L
R E
5
C
O N
I
K
E
Use a model to solve each subtraction problem.
S
E
V
3
!!
4
P R
O C
4
A
1. 2 ! 1!4!
L
1
C
6
T
H
I
R D
E
1
1
2!2!
3
3
!!
8
2. 4 ! 1!2!
3
1
3. 5!4! ! 3!2!
1!4!
1
4. 1!8! ! !4!
Think and Discuss
E
7
cake left # !4!
3
There is !4! of a cake left over.
1
–
3
initial amount of cake # 2!4!
2
F
3
!!
4
1
2
1
7
7. The numerator of !8!.
1
1
2
1
5. Discuss your method for subtracting mixed numbers.
N
Possible answer: Rename the first fraction into one less whole
amount and a fraction equal to one.
The circled letters in the crossword will give you the answer.
T
What two letters can keep you from doing your homework?
6. Explain why the method used to solve the problem about the
lemon cakes is called renaming.
V
You are renaming the whole number.
78
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math Course 1
Practice A
5-9 Renaming to Subtract Mixed Numbers
LESSON
Subtract. Write the answer in simplest form.
Rename each mixed number by borrowing a 1 from the whole number.
5
!!
4
1
5
2. 8!1!
2
5
3. 4!9!
17
7!12!
4
1!3!
3
14
6. 10!7!
1
10
6!9!
2
1
7. 2 ! !3!
1
1!3!
1
5
10. 2!3! ! 1!6!
1
!!
2
3
4
13. 5!1!
! 1!5!
0
1
3!2!
1
8. 1 ! !4!
1
4
2
11. 1!9! ! !3!
7
!!
9
10. b ! a
9
13. d ! a
8
!!
15
1
7
1
8. 9!4! ! 1!1!
6
1
9. 6!5! ! 3!4!
13
7!1!
6
19
2!2!
0
1
1
11. a ! c
5
!!
6
1
4
15. 3!3! ! 2!5!
1!16!
1
4!2!
1
3
!!
8
1
11
!
14. 2!4! ! !
16
5
1
7
1
6. 10!5! ! 5!1!
0
Evaluate each expression for a # 1!2!, b # 2!3!, c # !4!, and
d # 3. Write each answer in simplest form.
1
7
12. 2!4! ! 1!8!
5
12. b ! c
1
1
1!4!
2!1!
2
14. d ! b
1
1!2!
16. At the pie-eating contest, Dina ate 3!3! pies. Mason ate 2!6! pies.
How much more pie did Dina eat than Mason?
15. d ! c
2
!!
3
3
2!4!
16. Tim had 6 feet of wrapping paper for Kylie’s birthday
3
present. He used 3!8! feet of the paper to wrap her gift.
How much paper did Tim have left?
1
!! of a pie
2
5
2!8! feet of paper
1
17. At his last doctor’s visit, Pablo was 60!2! inches tall.
1
At today’s visit, he measured 61!6! inches. How much
did Pablo grow between visits?
1
17. When Latoya bought her angel fish, it was 1!2! inches long. Now
1
it is 2!3! inches long. How much did her angel fish grow?
5
!! of an inch
6
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
3!8!
7
!!
18
7
5!9!
5
13!2!
1
1
7
7. 1!6! ! !9!
3
1!4!
1
5. 7!4! ! 3!8!
9. 5!4! ! 3!2!
3
!!
4
1
17
Subtract. Write the answer in simplest form.
2
3. 14 ! 8!9!
1
2!2!
4. 19!7! ! 5!3!
10
9!7!
2
2. 5!6! ! 2!3!
5
1!8!
3
5. 7!9!
1
1. 4 ! 2!8!
3!9!
1
4. 2!3!
Holt Middle School Math Course 1
Practice B
5-9 Renaming to Subtract Mixed Numbers
LESSON
1
1. 1!4!
80
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
2
!! inch
3
1
18. Yesterday, Danielle rode her bike for 5!2! miles. Today,
1
she rode her bike for 6!4! miles. How much farther did
Danielle ride her bike today?
81
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math Course 1
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
126
82
3
!! mile
4
Holt Middle School Math Course 1
Holt Middle School Math Course 1