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Name
Date
Class
Practice C
LESSON
5-9 Renaming to Subtract Mixed Numbers
Subtract. Write the answer in simplest form.
4
11
1. 7 ! 3!1!
2
1
2
4. 5!7! ! 2!3!
1
5
19
! ! 1!!
2. 8!
13
26
1
4
2
3
3
! ! 4!!
5. 19!
12
9
7
7. 17!1!
! 8!8!
4
5
6. 19!5! ! 6!7!
3
8. 14!7! ! 11!4!
3
7
! ! 3!!
3. 14!
12
8
9
! ! 2!!
9. 22!
11
10
1
1
!, and
Evaluate each expression for a " 6!8!, b " 5!6!, c " 7!
12
d " 10. Write each answer in simplest form.
10. a ! b
11. c ! a
12. c ! b
13. d ! a
14. d ! b
15. d ! c
2
5
16. Annie bought 21!5! pounds of clay. She used 15!6! pounds
4
of the clay to make a vase, and 1!5! pounds to make a
coaster. How much clay does she have left?
1
17. In January, a chef bought 15!8! pounds of ground beef. In
4
February, he bought 3!5! pounds less. Then in March he
19
bought 1!2!
pounds less than in February. How many
0
pounds of ground beef did the chef buy in March?
18. John is training for the triathlon. He wants to cover a
1
1
distance of 16!4! miles today. If he runs for 6!2! miles
4
and rides his bike for 7!5! miles, how far does he
have to swim?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
83
Holt Middle School Math Course 1
Reteach
5-9 Renaming to Subtract Mixed Numbers
Practice C
5-9 Renaming to Subtract Mixed Numbers
LESSON
LESSON
You can use fraction strips to rename to subtract mixed numbers.
Subtract. Write the answer in simplest form.
11
4
!
1. 7 ! 3!
12
1
3!1!
2
1
5
2
1
4
3
7
2
! ! 8!!
7. 17!
14
8
3
3
3
1
9
1
41
!
19!
110
1
1
4
1
There are not enough !4! pieces to subtract, so you have to rename.
1
4
Trade one one-whole strip for four !4! pieces, because !4! " 1.
! ! 2!!
9. 22!
11
10
15
2!28!
1
5
31
12!3!
5
8. 14!7! ! 11!4!
11
8!5!
6
1
6. 19!5! ! 6!7!
23
14!3!
6
3
To find 3!4! ! 1!4!, first model the first mixed number in the expression.
13
10!2!
4
5. 19!1!
! 4!9!
2
10
2!2!
1
1
7
! ! 3!!
3. 14!
12
8
15
6!26!
4. 5!7! ! 2!3!
1
19
! ! 1!!
2. 8!
13
26
1
4
1
1
4
1
4
1
4
1
4
1
3
Now there are enough !4! pieces to subtract. Take away 1!4!.
1
Evaluate each expression for a " 6!8!, b " 5!6!, c " 7!1!
, and
2
d " 10. Write each answer in simplest form.
10. a ! b
11. c ! a
5
12. c ! b
17
!!
24
1!2!
4
13. d ! a
11
14. d ! b
5
2!1!
2
2
1
23
3!3!
pounds
0
1
17. In January, a chef bought 15!8! pounds of ground beef. In
4
February, he bought 3!5! pounds less. Then in March he
19
bought 1!2!
pounds less than in February. How many
0
3
2
3
1
3
9!8! pounds
5
7
83
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
3
9. 3!8! ! 1!8!
Holt Middle School Math Course 1
Challenge
5-9 Renaming to Subtract Mixed Numbers
1
4
6!2! ! 5!5!
1
4
5!5! ! 4!5!
2
2
7!9! ! 6!3!
2
1
12!5! ! 11!2!
7
10. 2!8! ! 1!8!
1
!!
4
5
8. 4 ! 1!3!
1
3!2!
2
2!3!
1
3
11. 3 ! 1!4!
5
12. 6!8! ! 2!8!
3
1!4!
84
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
1
7. 5!8! ! 1!8!
3
3!4!
Holt Middle School Math Course 1
Write the correct answer in simplest form.
1. The average person in the United
2. The average person in the United
1
13
! pounds of meat
States eats 6!1!
States eats 270!
pounds of potato
16
6
chips each year. The average person
each year. The average person in
15
1
! pounds. How
in Ireland eats 5!
Australia eats 238!2! pounds. How
16
much more potato chips do Americans
much more meat do Americans eat
eat a year than people in Ireland?
a year than people in Australia?
Rename fractions or mixed numbers to solve each problem
below. Write your answers in simplest form. Then, in the box
at the bottom of the page, write each problem’s letter in the
blanks above its solution. When you have solved all the
problems, you will have found the answer to the question.
1
2
10!3! ! 9!3!
1
2
2
!!
3
LESSON
What are the most popular first names in the United States?
3
9
2
1!5!
1
1
4. 3!3! ! 2!3!
Problem Solving
5-9 Renaming to Subtract Mixed Numbers
LESSON
1
3
7
1
2!2!
! ! 1!!
6. 3!10
10
5
2!6!
1
3
3. 4!8! ! 1!8!
1
1!3!
! ! 2!!
5. 5!
12
12
19
1!2!
miles
0
5
2. 3!6! ! 1!6!
1
!!
2
3
1!4!
9!8! ! 8!4!
1
4
Use fraction strips to find each difference. Write your answer in
simplest form.
1
18. John is training for the triathlon. He wants to cover a
1
1
distance of 16!4! miles today. If he runs for 6!2! miles
4
and rides his bike for 7!5! miles, how far does he
have to swim?
5
!!
6
3
!!
8
2
!!
3
7
!!
10
2
!!
5
5
!!
9
9
!!
10
1
4
1
1. 3!4! ! 2!4!
pounds of ground beef did the chef buy in March?
3
1
4
3!4! ! 1!4! " 1!4! " 1!2!
5
16. Annie bought 21!5! pounds of clay. She used 15!6! pounds
4
of the clay to make a vase, and 1!5! pounds to make a
coaster. How much clay does she have left?
7
1
4
The remaining pieces represent the difference. Write the difference
in simplest form.
11
4!6!
8!1!
! 7!4!
2
1
4
1
15. d ! c
5
3!8!
1
1!1!
2
9
16
7
!! pound more
8
A
31!! pounds more
4. People in Switzerland eat the most
chocolate—26 pounds a year
per person. Most Americans eat
9
! pounds each year. How much
12!
16
more chocolate do the Swiss eat?
3. The average Americans eats
1
24!2! pounds of ice cream every year.
The average person in Israel eats
4
15!5! pounds. How much more ice
cream do Americans eat each year?
E
J
M
7
10
7
16
8!! pounds more
R
13!! pounds more
5. The average person in the United
9
! pounds of gum
States chews 1!
16
each year. The average person in
7
Japan chews !8! pound. How much
more gum do Americans chew?
S
Y
6. Norwegians eat the most frozen
1
foods—78!2! pounds per person
each year. Most Americans eat
15
! pounds. How much more
35!
16
frozen foods do people in Norway eat?
9
16
11
!! pound more
16
42!! pounds more
Circle the letter of the correct answer.
#1 Name For American Men:
#1 Name For American Women:
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
J
A
M
E
S
2
!!
3
5
!!
6
7
!!
10
3
!!
8
5
!!
9
M
A
R
Y
7
!!
10
5
!!
6
2
!!
5
9
!!
10
85
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
8. The average person eats 208 pounds
5
of vegetables and 125!8! pounds of
fruit each year. How much more
vegetables do most people eat than
fruit?
7. Most people around the world eat
7
41!8! pounds of sugar each year. Most
3
Americans eat 66!4! pounds. How
much more sugar do Americans
eat than the world’s average?
5
7
F 83!8! pounds more
A 25!8! pounds more
3
G 82!8! pounds more
!
1
B 25!8! pounds more
7
C 24!8! pounds more
!
1
D 24!8! pounds more
Holt Middle School Math Course 1
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
127
5
H 123!8! pounds more
3
J 83!8! pounds more
86
Holt Middle School Math Course 1
Holt Middle School Math Course 1