Lesson 12
Use after Ready Instruction page 105
Fractions as Division
Name: Write a Fraction as a Mixed Number
Study the example problem showing how to write a fraction
greater than 1 as a mixed number. Then solve problems 1–5.
Example
Ms. Sud uses ​ 3 ​foot of blue ribbon on a costume she is
4
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making for a recital. How many feet of ribbon will she
need to make 5 costumes?
5 3 ​ 3 ​ 5 ​ 15  ​
4
··
4
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You can use a number line to write ​ 15  ​as a mixed number.
4
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15
4
0
1
2
3
4
5
Remember that 1 whole is ​ 4 ​ .
4
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15
3
​    ​is 3 wholes 1 ​   ​of a whole. Write this as the mixed
4
4
··
··
number 3 ​ 3 ​ .
4
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Ms. Sud will need 3 ​ 3 ​feet of blue ribbon.
4
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1 Use the number line in the example problem to help
you write each fraction as a mixed number or a whole
number.
a.​ 5 ​ b.​  16  ​ 4
··
c.​  10  ​
4
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d.​  19  ​ 4
··
4
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2 You can also use number lines to write mixed numbers
as fractions greater than 1. Use the number line in the
example problem. Complete the equation.
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2 ​ 3 ​ 5 ​ 
4
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   ​
4
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Lesson 12 Fractions as Division
121
Solve.
3 Write a mixed number and a fraction greater than 1
for each point on the number line.
a. , a
b
c
b. , c. , 0
1
2
3
4 Which number represents the amount shaded in the
model? Circle the letter for all that apply.
A 3 ​ 2 ​
3
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B 2 ​  2 ​
3
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C ​  8 ​
3
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D ​  7 ​
3
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5 Brett lives ​  3  ​ mile from school. If he rides his bike to
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and from school each day, Monday to Friday, how
many miles does he ride?
Show your work.
Solution: 122
Lesson 12 Fractions as Division
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Lesson 12 • Use after Ready Instruction page 107
Name: Find Fraction Quotients
Study the example problem showing whole number division
with a fraction quotient. Then solve problems 1–5.
Example
There are 4 packages of printer paper to be divided equally among
6 classrooms. How much paper will each classroom get?
There are 4 packages for 6 classrooms to share, which is 4 4 6.
If you divide each package into sixths, each classroom would get one sixth
of each package. ​ 1 ​of each package from 4 packages is the same as ​ 4 ​of a
6
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6
··
package.
5
1
​   ​
6
··
4
3
5
4
​   ​
6
··
4 4 6 5 ​ 4 ​
6
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Each classroom gets ​ 4 ​of a package in all.
6
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1 Look at the example problem. Which statement is true
about the amount of printer paper each classroom gets?
A It is more than ​ 1 ​ package.
2
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B It is less than ​ 1 ​ package.
2
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1
C It is equal to ​   ​ package.
2
··
D It is more than 1 package.
2 Suppose only 5 classrooms share 4 packages of printer
paper. How would the model in the example problem
change? How would the answer change?
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Lesson 12 Fractions as Division
123
Solve.
3 Trish is taking care of the Han family’s dogs. The Hans
leave 7 cans of dog food for the 3 days they’ll be away.
How much food will the dogs get each day if Trish
feeds them an equal amount each day?
Show your work.
Solution: 4 Look at problem 3. How many more cans of dog food
would Trish need if she needed to feed the dogs
3 cans each day? Explain.
5 Gus is making 48 ounces of spiced cider. If he serves
an equal amount to 7 people, will each person get
more than 1 cup of cider or less than 1 cup?
Show your work.
I know that 1 cup
is the same as
8 ounces.
Solution: 124
Lesson 12 Fractions as Division
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Lesson 12 • Use after Ready Instruction page 109
Name: Fractions as Division
Solve the problems.
1 Jack is sharing 3 bananas with 3 friends. Which
expression represents the amount each one will get if
they share them equally? Circle the letter for all that
apply.
A 3 3 ​ 1 ​
C ​  3 ​
B 3 3 ​  1 ​
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D 1 ​  1 ​
3
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If Jack shares with
3 friends, how many
people are sharing
the bananas?
4
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3
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2 Elaine is decorating for a party. She cuts 3 equal-length
streamers from a strip of purple paper that is 8 feet
long. How long is each streamer? Circle the letter of
the correct answer.
A 2 ​ 2 ​ feet
3
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B 1 ​  3 ​ feet
8
··
C ​  2 ​ feet
If the paper was
9 feet long, each
streamer would be
3 feet long. Since 8 is
less than 9, they
must be less than
3 feet long.
3
··
D ​  3 ​ feet
8
··
Zane chose C as the correct answer. How did he get
that answer?
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Lesson 12 Fractions as Division
125
Solve.
3 Four 5th graders are taking turns visiting a 2nd grade
classroom to read aloud from a chapter book. The
book has 38 pages. If they each read the same number
of pages, how many pages will each one read?
Will each student
read more or less
than 10 pages?
Show your work.
Solution: 4 Rafiq is making a fruit punch using 48 ounces of grape
juice and some seltzer water. He wants to make
10 equal servings that are at least 9 ounces each.
Should he add 32 or 48 ounces of seltzer water?
Explain.
Show your work.
How much fruit
punch will Rafiq
have in all if he adds
32 ounces of seltzer
water? 48 ounces?
Solution: 126
Lesson 12 Fractions as Division
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Practice Lesson 12 Fractions as Division
Lesson 12
Unit 2
Use after Ready Instruction page 105
Fractions as Division
Solve.
Name:
M
Write a Fraction as a Mixed Number
3 Write a mixed number and a fraction greater than 1
for each point on the number line.
Study the example problem showing how to write a fraction
greater than 1 as a mixed number. Then solve problems 1–5.
11
a.
b.
Example
,
6
··
14
,
6
··
25
6
··
c.
,
7
6
··
10
6
···
17
6
···
a
0
1
b
c
2
3
Ms. Sud uses 3 foot of blue ribbon on a costume she is
4
··
M
making for a recital. How many feet of ribbon will she
4 Which number represents the amount shaded in the
model? Circle the letter for all that apply.
need to make 5 costumes?
5 3 3 5 15
4 ··
4
··
You can use a number line to write 15 as a mixed number.
4
··
A
32
B
22
C
15
4
D
0
1
2
3
4
C
4
··
7
3
··
5 Brett lives 3 mile from school. If he rides his bike to
10
··
and from school each day, Monday to Friday, how
15 is 3 wholes 1 3 of a whole. Write this as the mixed
4
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number 3 3 .
4
··
Ms. Sud will need 3 3 feet of blue ribbon.
4
··
many miles does he ride?
4
··
Show your work.
Students might use number lines, equations, or
some other method to show Brett rides 3 1 3 ,
10 ···
10
···
or 6 miles each day. If he rides that distance for
10
···
1 Use the number line in the example problem to help
5 days he rides 5 3 6 , or 30 miles.
you write each fraction as a mixed number or a whole
number.
10
···
10
···
11
a. 5
4
··
b. 16
4
··
c. 10
4
··
d. 19
4
··
B
3
··
8
3
··
5
Remember that 1 whole is 4 .
B
3
··
4
··
4
22
Solution: 3 miles
or 2 1
4
··
2
··
43
4
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2 You can also use number lines to write mixed numbers
235
as fractions greater than 1. Use the number line in the
example problem. Complete the equation.
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4
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11
4
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Lesson 12 Fractions as Division
Copying is not permitted.
Lesson 12 • Use after Ready Instruction page 107
121
121
122
122
Lesson 12 Fractions as Division
©Curriculum Associates, LLC
Copying is not permitted.
Name:
Solve.
Find Fraction Quotients
M
Study the example problem showing whole number division
with a fraction quotient. Then solve problems 1–5.
3 Trish is taking care of the Han family’s dogs. The Hans
leave 7 cans of dog food for the 3 days they’ll be away.
How much food will the dogs get each day if Trish
feeds them an equal amount each day?
Example
Show your work.
Students might use number lines, equations,
or some other method to show the quotient of
7 4 3.
There are 4 packages of printer paper to be divided equally among
6 classrooms. How much paper will each classroom get?
There are 4 packages for 6 classrooms to share, which is 4 4 6.
If you divide each package into sixths, each classroom would get one sixth
of each package. 1 of each package from 4 packages is the same as 4 of a
6
··
6
··
7 , or 2 1 cans
3
··
package.
3
Solution: ··
C
5
1
4
3
6
··
5
4 Look at problem 3. How many more cans of dog food
would Trish need if she needed to feed the dogs
3 cans each day? Explain.
2 more cans; Possible explanation: 2 more cans would make 9 cans, and 9 5 3.
3
··
4
6
··
44654
6
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Each classroom gets 4 of a package in all.
6
··
B
1 Look at the example problem. Which statement is true
about the amount of printer paper each classroom gets?
A
B
C
M
It is more than 1 package.
5 Gus is making 48 ounces of spiced cider. If he serves
2
··
It is less than 1 package.
2
··
It is equal to 1 package.
2
··
Show your work.
Students might use fraction models, equations,
I know that 1 cup
is the same as
8 ounces.
or some other method to show 48 4 7 5 48 or
D It is more than 1 package.
M
an equal amount to 7 people, will each person get
more than 1 cup of cider or less than 1 cup?
7 1 . 7 1 ounces , 8 ounces
7
··
2 Suppose only 5 classrooms share 4 packages of printer
paper. How would the model in the example problem
change? How would the answer change?
Answers will vary. Possible answer: Each rectangle would be divided into 5 equal
7
···
7
··
Solution: less than 1 cup
sections instead of 6; the answer would change to 4 package.
5
··
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Copying is not permitted.
Practice and Problem Solving
Lesson 12 Fractions as Division
123
123
124
124
Lesson 12 Fractions as Division
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Copying is not permitted.
Unit 2 Number and Operations—Fractions
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Practice Lesson 12 Fractions as Division
Lesson 12 • Use after Ready Instruction page 109
Unit 2
Name:
Solve.
Fractions as Division
Solve the problems.
M
B
1 Jack is sharing 3 bananas with 3 friends. Which
expression represents the amount each one will get if
they share them equally? Circle the letter for all that
apply.
A
331
C
B
331
4
··
D 11
3
··
3
If Jack shares with
3 friends, how many
people are sharing
the bananas?
3 Four 5th graders are taking turns visiting a 2nd grade
classroom to read aloud from a chapter book. The
book has 38 pages. If they each read the same number
of pages, how many pages will each one read?
Will each student
read more or less
than 10 pages?
Show your work.
Students might use number lines, equations, or
some other method to show the quotient of
38 4 4.
4
··
3
··
38 or 9 2 or 9 1 pages
4
2
··
··
4
Solution: ···
M
2 Elaine is decorating for a party. She cuts 3 equal-length
streamers from a strip of purple paper that is 8 feet
long. How long is each streamer? Circle the letter of
the correct answer.
A
2 2 feet
B
1 3 feet
C
D
3
··
8
··
2 feet
If the paper was
9 feet long, each
streamer would be
3 feet long. Since 8 is
less than 9, they
must be less than
3 feet long.
C
4 Rafiq is making a fruit punch using 48 ounces of grape
juice and some seltzer water. He wants to make
10 equal servings that are at least 9 ounces each.
Should he add 32 or 48 ounces of seltzer water?
Explain.
Show your work.
Students might use fraction models, equations,
or some other method to show the serving sizes
when 32 and 48 ounces are added to the
48 ounces of grape juice:
3
··
3 feet
8
··
Zane chose C as the correct answer. How did he get
that answer?
How much fruit
punch will Rafiq
have in all if he adds
32 ounces of seltzer
water? 48 ounces?
32 1 48 5 80 and 80 5 8
10
···
48 1 48 5 96 and 96 5 9 6 or 9 3
Possible answer: He only recorded the fraction
10
···
10
···
5
··
part of the mixed-number answer.
48 ounces; Possible explanation: Adding 32 ounces makes 80 ounces
Solution:
of fruit punch. Each serving will be 80 or 8 ounces, which is not enough.
10
···
Adding 48 ounces makes 96 ounces of punch. Each serving will be 96 or
10
···
9 6 ounces which is greater than 9.
10
···
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Lesson 12 Fractions as Division
125
125
126
126
Lesson 12 Fractions as Division
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Key
B Basic
M Medium
C Challenge
Practice and Problem Solving
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Unit 2 Number and Operations—Fractions
29