This presentation provides activities in visualizing addition and subtraction of fraction.

1. LESSON 34:
Visualizing Addition
and Subtraction of
Similar Fractions
Lesson 34:
At the end of the lesson pupils
should be able to:
1. Visualize addition of similar fractions.
2. Visualize subtraction of similar fractions.

2. Name the shaded part.
1
6
2
6
4
6
5
6
a. b. c. d.

3. Name the shaded parts.
1
6
2
6
4
6
5
6
a. b. c. d.

4. Name the shaded parts.
1
6
2
6
4
6
5
6
a. b. c. d.

5. Name the shaded parts.
1
6
2
6
4
6
5
6
a. b. c. d.

6. Continue in no. 2
Continue in no. 3
Continue in no. 4
Done

7. Go back in no. 1
Go back in no. 2
Go back in no. 3
Go back in no. 4

8. 5
6
4
6
2
6
1
6
6
7
5
7
3
7
1
7
3
8
1
8
4
8
6
8
Name the following fractions.
Similar Fractions – these are the fractions that
have the same family or denominator.

9. VISUALIZATION
Is a process of creating a mental
image/picture of something.

10. Jay and Renard jog regularly. One morning,
Jay jogged
5
8
kilometer while Rhenald
jogged
3
8
kilometer. How many kilometers
did Jay and Rhenald jog altogether? How
much farther did Jay jog than Rhenald?
• Who jog regularly?

11. Jay and Renard jog
regularly.

12. Jay and Renard jog regularly. One morning,
Jay jogged
5
8
kilometer while Rhenald
jogged
3
8
kilometer. How many kilometers
did Jay and Rhenald jog altogether? How
much farther did Jay jog than Rhenald?
• What part of a kilometer did Jay jog one
morning? What about Renard?

13. Jay jogged
5
8
kilometer while
Renard jogged
3
8
kilometer.

14. Jay and Rhenald jog regularly. One
morning, Jay jogged
5
8
kilometer while nald
jogged
3
8
kilometer. How many kilometers
did Jay and Rhenald jog altogether? How
much farther did Jay jog than Rhenald?
• What is asked in the problem?

15. Numbers of kilometers Jay and
Renard jogged altogether and
how much farther did Jay jog
than Rhenald.

16. • How will you solve for
the answer?

17. Explanation

18. Illustration using Number Line
Jay -
5
8
kilometer
Renard -
3
8
kilometer

19. How many kilometers did Jay and Renard
jog altogether?
Jay -
5
8
kilometer Renard -
3
8
kilometer
Answer:
8
8
or 1 kilometer

20. Renard =
3
8
kilometer
How much farther did Jay jog than Renard?
Jay =
5
8
kilometer
5
8
-
3
8
=
2
8

21. Answer: Jay jogged
2
8
or
1
4
kilometer farther than
Renard.

22. Illustration using Regions
Renard =
3
8
kilometer
Jay =
5
8
kilometer
5
8
+
3
8
=
8
8
or 1 kilometer

23. 5
8
+
3
8
=
8
8
or 1 kilometer
How many kilometers did Jay and Rhenald
jog altogether?
+ =

24. How much farther did Jay jog than Renard?
Jay =
5
8
kilometer
5
8
-
3
8
=
2
8
or
1
4

25. • Carmela has 5/8 pieces of
pizzas remaining. Then, she
gave 2/8 of it to her friend
Jericho. How many were
left to her?

27. Group Activity

29. Rhea bought bibingka at Sablayan
public market. She cut it into 10 equal
parts. She ate 3/10 and his brother,
Aerron, ate 5/10. What part of the
bibingka did they eat? What part is left?
Show the fractional part.

31. John Rick buys an imported pizza for his
friends. He sliced it equally among his
friends namely Neil John, Quezzer, and
Jaybe. What part of the homemade pizza
did each get and eat?
Is it good to share? Why?

33. In visualizing the sum or
difference of similar
fractions, we may use a
fraction chart, regions, or a
number line.

35. Answer the sum or difference. Shade using crayons to
show the answer.
1)
+ =
2
8
+
4
8
=
2)
+ =
4
10
+
4
10
=

36. 3)
4)
4
8
+
3
8
=
− =
6
6
-
4
6
=
Back
+ =

37. 5) 5
12
+
7
12
=
6)
18
18
-
11
18
=