This document is a module on visualizing addition and subtraction of similar fractions for 4th grade mathematics. It provides 3 learning objectives which are to visualize addition and subtraction of similar fractions. It includes lessons, activities, and assessments to help students meet these objectives. It was created by the Department of Education of the Philippines to support alternative delivery of the mathematics curriculum.

1. Mathematics
Quarter 2 – Module 33:
Visualizes addition and
subtraction of similar
fractions
4

2. Mathematics – Grade 4
Alternative Delivery Mode
Quarter 1 – Module 33: Visualizes addition and subtraction of similar fractions.
First Edition, 2019
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3. 4
Mathematics
Quarter 2 – Module 33:
Visualizing addition and
subtraction of similar
fractions
M4NS-IIf-82.1

4. 2
Introductory Message
For the facilitator:
 Orient the learners and support the parents, elder sibling etc.
of the learners on how to use the module.
 Remind the learners to use separate sheets in answering the
pre-test, self-check exercises, and post-test.
For the learner:
 Examine carefully the module objectives.
 Read the module exercises and try to answer them to the
best of your ability
 Study and work on every part of the module at your own.
 Answer the quiz in the module. Evaluate your score by
comparing your answer to the key to corrections found at the
back of this module.
 Answer honestly by not looking the answers at the back of
the module.
 Keep this module clean. Do not write anything on any page.
 If there are unclear areas, do not hesitate to seek help from
your teacher.
 This module focuses on giving the place value and value of the
digit up to 100 000.
What I Need to Know
This module was designed and written with you in mind. It is here
to help you master skill in visualizing addition and subtraction of
similar fractions. The scope of this module permits it to be used in
many different learning situations. The language used recognizes
the diverse vocabulary level of students. The lessons are arranged

5. 3
to follow the standard sequence of the course. But the order in
which you read them can be changed to correspond with the
textbook you are now using.
After going through this module, you are expected to:
 Visualize addition and subtraction of similar fractions.
What I Know
Name the shaded parts of the following.
3.
4.
5.
B. tell whether it is similar fractions or dissimilar fractions
______1. ½, 2/2, 3/2
1.
2.

6. 4
_______2. 3/4, 3/7, 4/6
_______3. 4/5, 6/5, 8/5
_______4. 1/8, 2/8, 4/8
_______5. 1/3, 3/6, 5/8
What’s In
Lesson
34
Visualizing addition and
subtraction of similar
fractions
Reduce its fractions to its lowest term
1.) 6/12
2.) 10/35
3.) 8/48
4.) 13/39
5.) 9/27
Put a check (/) before each item if the given fractions is in its
lowest term and cross (x) if it is not
1.)_____3/7
2.)_____2/28
3.)_____8/134
4.)_____3/5
5.) _____4/25

7. 5
What’s New
Read the problem.
What part of a kilometres did John jog one morning? What
about Raul?
What does the problem ask you find?
How will you solve for the answers to the problem?
Using the fraction bar solve for 5/8 + 3/8 = n
1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8
5/8 + 3/8
1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8
5/8 + 3/8 = 8/8 or 1
Anwer: John and Raul jogged a distance of 8/8 or 1 kilometres
How much farther did John jog than Raul?
Using number line we can show the answer
John and Raul jog regularly. One morning , John
jogged 5/8 km while Raul jogged 3/8 km. How many
kilometres did John and Raul jog altogether? How much
farther did John jog than Raul?

8. 6
/ / / / / / / / /
0 1/8 2/8 3/8 4/8 5/8 6/8 7/8 8/8
5/8 - 3/8 = 2/8 or ¼ km farther than Raul
What is It
It is easy to visualized addition and subtraction of
similar fraction by using fraction chart, regions or number
line.
For example:
2/10 +8/10 = 10/10 or 1
3/5 – 2/5 = 1/5
2/6 + 3/6 = 5/6

9. 7
What’s More
A. Draw a model for each number sentence
1. 7/11 – 3/11
2. 9/13-7/13
3. 2/8 + 1/8
4. 1/8 + 4/8
5. 4/9 – 3/9
B. Find the sum or difference and express your answer in
lowest term if possible.
1. ¾ -2/4 =
2. 5/7 – 3/7 =
3. 8/9 + 5/9 =
4. 10/12 + 6/12
5. 2/6 +2/6 =
C. Find the sum or difference and express your answer in lowest
term if possible
1. 3/7 + 1/7=
2. 5/12 + 3/12 =
3. 4/15 – 1/15 =
4. 3/8 – 2/8 =
5. 6/9 – 3/9 =

10. 8
What I Have Learned
How do visualized addition and subtraction of
similar fractions?
 In visualizing the sum or difference of similar fractions, we
may use a fraction chart, regions or a number line.
What I Can Do
Read the problem then, answer the question that follow
Liza bought bibingka. She sliced it into 8 equal
pieces, She ate 1/8 and Danny ate 3/8. What part of
the bibingka they eat?
How will you draw a picture to represent the problem?
How is the solution done? Show your solution
What is the complete answer?
Assessment
A. Draw each number sentence by writing the missing fraction.
Then used or make the shaded regions to show the number
sentence.
1.) 2/8 + ____ = 6/8
2.) 9/10 - ____ = 5/10
3.) 6/10 - ____ = 1/10
4.) _____ + 5/12 = 11/12
5.) 18/18 – 11/18 = _____
B. Find the sum or difference. Shade using crayons to show the
answer.

11. 9
6.)
2/8 + 4/8 =
7.)
4/10 + 4/10 =
8.)
2/4 - ¼ =
9.)
4/6 - 2/6 =
10.)
6/9 - 3/9 =

12. 10
Additional Activities
Draw units or regions to show the addition and subtraction
sentences.
1. 1/8 + 4/8 =
2. 5/11 – 2/11 =
3. 9/13 – 2/13 =
4. 5/12 + 3/12 =
5. 7/15 + 4/15 =

13. 11
Answer Key
What
I
Know
1.
)
3/4
2.
)
9/9
3.
)
10/12
4.
)
2/2
5.
)
10/12
B.
1.
similar
2.
dissimilar
3.
similar
4.
similar
5.
dissimilar
What's
In
1.)
1/2
2.)
2/7
3.)
1/6
4.)
1/3
5.)
1/3
B
1.)
/
2.)
X
3.)
X
4.)
/
5.)
/
Assessment
A
1.)
4/8
2.)
4/10
3.)
5/10
4.)
7/12
5.)
9/18
or
1/2
B.
6.)
6/8
or
3/4
7.)
8/10
or
4/5
8.)
1/4
9.
)
2/6
or
1/3
10.
)
3/9
or
1/3
What
I
Can
Do
3/8
1/8
3/8
+
1/8
=
4/8
or
1/2
W
hat’s
M
ore
1.
4/11
2.
2/13
3.
1/8
4.
5/8
5.
1/9
B.
1.
¼
2.
2/7
3.
13/9
4.
16/12
or
4/3
5.
4/6
or
2/3
C.
1.
4/7
2.
8/12
or
2/3
3.
3/15
or
1/3
4.
1/8
5.
3/9
or
1/3
Additional
Activities
1.)
5/8
2.)
3/11
3.)
7/13
4.)
8/12
or
4/3
5.)
11/15

14. 12
References
1) K-12 Curriculum Guide in Mathematics, pp.14
2) Learner’s Materials in Mathematics Grade 4

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