Name
2.5
?
Number and
Operations—3.3.D
Also 3.3.A, 3.3.C, 3.3.E
MATHEMATICAL PROCESSES
3.1.D, 3.1.F
Write Fractions
Essential Question
How can you write a fraction as a sum of unit
fractions with the same denominator?
Unlock
Unlock the
the Problem
Problem
Liz made a carrot cake and cut it into 4 equal slices.
She ate 1 slice, or 1_4 , of the cake. Her friends, Tommy
and Renee, each ate 1_4 of the cake. What fraction of
the cake did Liz and her friends eat?
Write the fraction represented by the sum of
unit fractions.
1
__
4
1
__
4
Remember
A unit fraction names 1
equal part of a whole. It
has 1 as its numerator. 1_6 is
a unit fraction.
1
__
4
3 fourths of the rectangle is shaded.
1+1
__
__ + 1
__
4
4
4=_
So, Liz and her friends ate _ of the cake.
Mr. Rivera made a pan of brownies. He cut the pan into
6 equal pieces. Each piece is 1_6 of the whole. His son Alex
ate 2 pieces, so 4_6 of the pan of brownies is left.
© Houghton Mifflin Harcourt Publishing Company
Write 4_6 as a sum of unit fractions.
4=
_
6 _+_+_+_
Module 2
61
Share
Share and
and Show
Show
1.
Math Talk
Mathematical Processes
Write 6_8 as a sum of unit fractions.
Explain how the
numerator in 6_8 is related
to the number of unit
fractions in the sum.
6=
_
8 _+_+_+_+_+_
Write the fraction as a sum of unit fractions.
2
2. _ =
3
______
3
3. _ =
6
______
Write the fraction represented by the sum of unit fractions.
1 1
4. _ + _ =
4
4
_
1 1 1 1 1
5. _ + _ + _ + _ + _ =_
8
8
8
8
8
6.
Mrs. Collins cut a piece of yarn into 8 equal pieces. She
used 1 piece for a craft project, so 7_8 is left. How can you
write 7_8 as a sum of unit fractions?
7.
Can you write the number 1 as a sum of four
unit fractions? Explain.
62
© Houghton Mifflin Harcourt Publishing Company
Problem
Problem Solving
Solving
Name
Problem
Problem Solving
Solving
Pose a Problem
8.
Taylor made a loaf of pumpkin bread
and cut it into 8 equal pieces.
Look back at the carrot cake example
on page 61. Write a similar problem
that can be solved by using the picture
of Taylor’s pumpkin loaf shown at the
right. Then solve the problem.
Pose a problem.
© Houghton Mifflin Harcourt Publishing Company
9.
Solve your problem.
Multi-Step Write a similar problem by changing
the number of equal slices in the loaf of pumpkin bread. Then
solve the problem.
Module 2 • Lesson 5
63
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble for the correct answer choice.
10.
11.
Mrs. Davis made a large pot of soup for dinner. In all, she
and her family ate 3_4 of the soup. Which is 3_4 written as a
sum of unit fractions?
A
1 + 1_ + 1
_
_
4 4 4
C
1+1
_
_+1
_+1
_
4 4 4 4
B
3_ + 3_ + 3
_+3
_
1 1 1 1
D
3
_+3
_+3
_
4 4 4
Representations What fraction is represented by the
sum 1_ + 1_ + 1_?
6
A
B
12.
6
6
2
_
6
3_
6
C
D
4
_
6
6
_
6
Multi-Step Penny cut a banana into eight equal pieces.
She ate six pieces. Which is equal to the fraction of the
banana Penny did not eat?
A
B
2 + 2_
_
8 8
1+_
2
_
8 8
C
D
1+1
_
_
8 8
1+_
1
_
2 2
13.
64
Which is 3_8 written as a sum of unit fractions?
A
1 + 1_ + 1
_
_+1
_
8 8 8 8
C
1+1
_
_
8 8
B
1 + 1_ + 1
_
_
8 8 8
D
3+3
_
_+3
_
8 8 8
© Houghton Mifflin Harcourt Publishing Company
TEXAS Test Prep
H o mewo rk
and Practice
2.5
Number and Operations—3.3.D,
Also 3.3.A, 3.3.C, 3.3.E
MATHEMATICAL PROCESSES 3.1.D, 3.1.F
Name
Write Fractions
Write the fraction as a sum of unit fractions.
4
1. __
5
2. __
2
3. __
6
4. __
6
8
3
6
Write the fraction represented by the sum of unit fractions.
1 1 1
5. __ + __ + __
4
4
4
1 1 1
6. __ + __ + __
8
8
8
Problem
Problem Solving
Solving
© Houghton Mifflin Harcourt Publishing Company
7.
Meg uses 1_4 stick of butter to make
breakfast for the family. That means
that there is 3_4 stick of butter left. How
can you write 3_4 as the sum of unit
fractions?
8.
Mr. Ayer cuts one melon into 8 equal
pieces. Write the number 1 as a
sum of unit fractions that name
each piece of melon.
Module 2 • Lesson 5 65
TEXAS Test Prep
Lesson
Lesson Check
Check
9.
What is 5_6 written as the sum of unit
fractions?
5 + __5 + __
5 + __
5 + __
5
A __
6 6 6 6 6
1 + __
1 + 1__
__ + __
B 1
6 6 6 6
1__
C
6
1 + __1 + __
1 + __
1 + __
1
D __
6 6 6 6 6
11.
What fraction is represented by
the sum 1_3 + 1_3 + 1_3 ?
__
A 0
3
__
B 3
3
1__
C
3
__
D 2
3
12.
Multi-Step Jamal sliced an orange
into four equal pieces. He ate one
slice and gave the rest to his friends.
Which is equal to the fraction of
the orange that Jamal gave to his
friends?
1 + __
1
__ + __
A 1
4 4 4
1 + __1
B __
4 4
1__
C
4
4 +4__
__ +__
D 4
1 1 1
66
10.
Ross walks 3_8 mile to school. What
is 3_8 written as the sum of unit
fractions?
1 + __1 + __
1
A __
8 8 8
1 + __1 + __
1 + __
1
B __
8 8 8 8
1__
C
8
1 + 1__
__ + __
D 1
3 3 3
13.
Multi-Step A bookshelf is divided
into six equal cubbies. Two of
the cubbies are filled with DVDs.
The rest are empty. Which is equal
to the fraction of the empty
cubbies?
1 + __
1
__ + __
A 1
6 6 6
1 + __
1
B __
6 6
1 + __
1 + __
1 + __
1
__
C
6 6 6 6
__
D 1
6
© Houghton Mifflin Harcourt Publishing Company
Fill in the bubble completely to show your answer.
Name
Module 2 Assessment
Vocabulary
Vocabulary
Vocabulary
Choose the best term from the box to complete
the sentence.
1.
A ____ is a number that names part
of a whole or part of a group. (p. 43)
2.
The ____ tells how many equal parts
are in the whole or in the group. (p. 49)
denominator
fraction
numerator
Concepts
Concepts and
and Skills
Skills
Write the number of equal parts in the whole. Then write the
fraction in numbers that names the shaded part. q TEKS 3.3.C
3.
4.
5.
_ equal parts
_ equal parts
_ equal parts
_
_
_
Use fraction strips to help you complete the number line.
Then locate and draw a point for the fraction. q TEKS 3.3.A
1
6. _
0
1
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2
1
2
0
2
2
2
2
Module 2 Assessment 67
Fill in the bubble for the correct answer choice.
You can use objects or models to solve.
8.
9.
10.
Jessica ordered a pizza. What fraction of
the pizza has mushrooms? q TEKS 3.3.A
A
2_
6
C
6
_
8
B
2_
8
D
8
_
6
Which is 5_6 written as a sum of unit fractions?
q TEKS 3.3.D
A
5 5_ 5
_
+ + _ + 5_ + 5_
6 6 6 6 6
C
1 1
_
+ _ + 1_ + 1_ + 1_ + 1_
6 6 6 6 6 6
B
1 1_ 1
_
+ +_
6 6 6
D
1 1
_
+ _ + 1_ + 1_ + 1_
6 6 6 6 6
Joshua has 3 oatmeal bars to share with his 2 sisters
and 3 of his friends. If he plans to give each person,
including himself, an equal share, how much of an
oatmeal bar will each person get? q TEKS 3.3.E
A
3 sixths
C
2 sixths
B
4 sixths
D
5 sixths
Elijah and Zoey each have an orange cut into 8 equal
sections. They each ate one section, or 1_8 , of their orange.
How many more sections altogether do Elijah and Zoey
need to eat to finish both oranges? q TEKS 3.3.C
Record your answer and fill in the bubbles on the grid.
Be sure to use the correct place value.
68
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
© Houghton Mifflin Harcourt Publishing Company
7.
TEXAS Test Prep