The document discusses adding and subtracting fractions and mixed fractions with and without regrouping. It defines key terms related to fractions such as fraction, similar fraction, dissimilar fraction, and mixed fraction. It then provides examples of how to add and subtract similar and dissimilar fractions, as well as mixed numbers, with and without regrouping. The document emphasizes converting fractions to similar fractions before adding or subtracting when the fractions have different denominators. It concludes with examples for students to practice these skills.

1. Adding and
Subtracting
Fractions and
Mixed Fractions
without or with
regrouping

2. Learning targets:
1.Add and subtract fractions and mixed
fractions without and with regrouping
2. Solves routine and nonroutine problems
involving addition and subtraction of fraction
using appropriate problem strategies and
tools.
1. Add and subtract fractions and mixed fractions without and with regrouping.
2. Solves routine and nonroutine problems involving addition and subtraction of fraction using appropriate problem strategies and tools.

3. Definition of Terms:
1. Fraction-
is a number that represents a part of a whole. It consists
of a numerator and a denominator. The numerator
represents the number of equal parts of a whole, while the
denominator is the total number of parts that make up
said whole.o

4. Definition of Terms:
2. Similar Fraction-

5. Definition of Terms:
3. Dissimilar Fraction
Fractions with different denominators.

6. Definition of Terms:
4. Mixed Fraction

7. Definition of Terms:
5. Lowest term
The lowest number that a numerator and denominator becomes
when it is reduced by its greatest common factor.

8. Add / Subract Fractions , Mixed Number with
or without Regrouping with Similar Fractions
1. Adding /Subtracting Similar Fractions

9. 2. Adding Mixed Fraction
Answer: 3 6/5 or 4 1/5

10. Add / Subtract Fractions , Mixed Number with or
without Regrouping with Dissimilar Fractions
1. Adding Mixed Number with Dissimilar Fraction
1

11. 1. Adding Mixed Number with Dissimilar Fraction
•Add the whole number.
•Make the fraction similar by getting the LCD.
•Divide the denominator and multiply the numerator.
•Add numerator and copy the denominator
•Reduce your answer to lowest term if possible

12. 1. Adding Mixed Number with Dissimilar Fraction

13. 2. Subtract Mixed Number with or without
Regrouping

14. Let's SOLVE

15. 3. Subtract Fractions , from a Whole Number

16. Let's SOLVE

17. Remember:
1. To add /subtract fractions with the same
denominator. Add the numerator and copy the
denominator.
2. To add/ subtract fractions with different
denominator, change the fractions into similar
fractions, then add the as in adding similar
fractions.
3. To add/ subtract mixed numbers, add the whole
number first, then add the fractions.
4. Always express the answer in lowest term.

18. BOOK ACTIVITY (MODE B)
1. Get your Understanding Mathematics.
2. Answer page 71 Let's Go Further 1-5 only.
3. Answer page 74 Let’s Do The Skill 6-10 only.

19. Answer Key
Page 71
1. 7/8
2. 1 1/6
3. 21 1/3
4. 1 1/10
5. 2 1/20
Page 74
6. 4 ½
7. 2/3
8. 5 1/8
9. 6 1/5
10. 3 11/12

20. Let’s Solve this Problem using AGOSA method
1. Last week Bautista worked three day in his
Learning Modules . He worked ¾ hours on
the first day , 4/8 hours on the second day
and 3 hours on the third day. How long did he
work in all?

21. AGOSA METHOD
Asked: How long did he worked in all?
Given: ¾ hours on the first day
4/8 hours on the second day
3 hours on the third day
Operation: Addition
Solution:
Answer: 4 ¼ hours in all

22. Let’s Solve this Problem using AGOSA method
2. Marian needs 25 3/4 meters of cloth to make
curtains. She already has 18 2/5 meters of cloth.
How many more meters does she need to buy to
complete the curtains?

23. AGOSA METHOD
Asked: How many more meters does she need to
buy to complete the curtains?
Given: 25 3/4 meters of cloth
18 2/5 meters of cloth
Operation: Subtraction
Solution:
Answer:7 7/20