Division of Fractions – Work Mat
1. Angel is building a set for the school musical performance. He has a 3-foot board that he needs to equally divide
into ½-foot pieces. How many pieces will he have after he cuts the board? Draw a physical model and a linear
model to represent this problem. Reason a solution and put your answer in a complete sentence. Write a
number sentence that represents your thinking.
2. If this represents one pie
, and this represents the
serving for each friend
, how
many friends will one pie feed? Write a numerical expression to represent the problem, reason a solution using
a model, and write the final answer in a complete sentence related to the question.
3. Noah has
of a pizza to share with Jay. How much of the pizza does each boy get to eat? Write a numerical
expression to represent the problem, reason a solution, draw and label a model, and write the answer in a
complete sentence related to the question.
4. Four students sitting at a table were given of a pan of brownies to share equally. What size serving will each
student receive? Use a model to reason a solution, write the division equation that goes with your model, and
check your answer using multiplication. Can you also write the “matching” multiplication equation (piece of a piece)?
5. Brianna has 2/3 of an hour left to make cards. It takes her about 10 minutes (1/6 of an hour) to make each card.
About how many cards can she make in the time left? Write the division expression that can be used to solve
this problem and reason a solution. Draw a model to check your answer. Write your answer in a complete
sentence that relates to the question.
6. Hailey has 2 meters of ribbon that she needs to cut into half-meter lengths to make bows. How many bows can
Hailey make with her ribbon? How much ribbon will be left over? Write and solve a numerical expression for this
problem. Make a model to represent your solution. Write your answer in a complete sentence that answers
both parts of the question.
7. David has 2 ½ pizzas. He wants each friend to get a
pizza serving. After cutting the pizza into those size pieces,
will there be pizza left over? If so, how much? Draw and label a model to represent your answer. Use your
model to tell how many servings David would have.
8. If Keith can run 5 miles in ¾ of an hour, how long does it take him to run each mile? Use a ratio table, double
number line, or proportion to solve this problem. Write the division equation that could also be used to
represent the solution.
Division of Fractions – Work Mat
1. Angel is building a set for the school musical performance. He has a 3-foot board that he needs to equally divide
into ½-foot pieces. How many pieces will he have after he cuts the board? Draw a physical model and a linear
model to represent this problem. Reason a solution and put your answer in a complete sentence. Write a
number sentence that represents your thinking.
Angel will have 6 half-foot pieces after he cuts the board.
2. If this represents one pie
3÷ =6
, and this represents the
serving for each friend
, how
many friends will one pie feed? Write a numerical expression to represent the problem, reason a solution using
a model, and write the final answer in a complete sentence related to the question.
1÷ =3
One pie can feed 3 friends.
3. Noah has
of a pizza to share with Jay. How much of the pizza does each boy get to eat? Write a numerical
expression to represent the problem, reason a solution, draw and label a model, and write the answer in a
complete sentence related to the question.
÷2=
Each boy will get 1/6 of the pizza.
4. Four students sitting at a table were given of a pan of brownies to share equally. What size serving will each
student receive? Use a model to reason a solution, write the division equation that goes with your model, and
check your answer using multiplication. Can you also write the “matching” multiplication equation (piece of a piece)?
÷4=
× =
×4=
=
Piece of a Piece Problem ☺
5. Brianna has 2/3 of an hour left to make cards. It takes her about 10 minutes (1/6 of an hour) to make each card.
About how many cards can she make in the time left? Write the division expression that can be used to solve
this problem and reason a solution. Draw a model to check your answer. Write your answer in a complete
sentence that relates to the question.
2 1
÷ =4
3 6
Brianna can make 4 cards in 2/3 of an hour.
Cards
1
4
Minutes
10
40
6. Hailey has 2 meters of ribbon that she needs to cut into half-meter lengths to make bows. How many bows can
Hailey make with her ribbon? How much ribbon will be left over? Write and solve a numerical expression for this
problem. Make a model to represent your solution. Write your answer in a complete sentence that answers
5
1
1
both parts of the question. 2 8 ÷ 2 = 5 4
Hailey can make 5 bows. She will have 1/8 meters left, which is ¼ of what she needs to make another bow.
7. David has 2 ½ pizzas. He wants each friend to get a
pizza serving. After cutting the pizza into those size pieces,
will there be pizza left over? If so, how much? Draw and label a model to represent your answer. Use your
model to tell how many servings David would have.
David will have 7 servings with a half-sized serving left over.
The half-sized serving is 1/6 of the pizza. ☺
8. If Keith can run 5 miles in ¾ of an hour, how long does it take him to run each mile? Use a ratio table, double
number line, or proportion to solve this problem. Write the division equation that could also be used to
represent the solution.
Miles
5
1
Miles
5
1
Hours
3/4
? = 3/20
Minutes
45
?=9
**You have to divide the miles and the time by 5 to find the missing number!
÷5=
of an hour or 9 minutes ☺