This document outlines a module divided into four lessons on rational numbers: addition and subtraction of fractions; addition and subtraction of decimals; multiplication and division of fractions; and multiplication and division of decimals. The objectives are to learn how to perform each operation on rational numbers and solve real-life problems involving them. Key points covered include differentiating similar, dissimilar and mixed fractions; when fractions can be added and subtracted; and the steps to perform each operation on fractions and decimals.

2. THE MODULE IS DIVIDED INTO FOUR
LESSONS, NAMELY:
•LESSON 1 – ADDITION AND SUBTRACTION OF FRACTIONS
•LESSON 2 – ADDITION AND SUBTRACTION OF DECIMALS
•LESSON 3 – MULTIPLICATION AND DIVISION OF FRACTIONS
•LESSON 4 – MULTIPLICATION AND DIVISION OF DECIMALS

3. LESSON OBJECTIVES:
AFTER THIS MODULE LESSON, YOU ARE EXPECTED TO:
1.ADD AND SUBTRACT FRACTIONS AND DECIMALS
2.MULTIPLY AND DIVIDE FRACTIONS AND DECIMALS
3.SOLVE REAL LIFE PROBLEMS INVOLVING RATIONAL
NUMBERS

4. WHAT I KNOW
DIRECTION: ANSWER THE FOLLOWING
QUESTIONS

7. LET’S DIFFERENTIATE THE SIMILAR,
DISSIMILAR AND MIXED FRACTIONS
SIMILAR FRACTION
SIMILAR
FRACTIONS ARE
FRACTIONS THAT
HAVE SAME
DENOMINATOR
DISSIMILAR FRACTION
DISSIMILAR
FRACTIONS ARE
FRACTIONS WITH
DIFFERENT
DENOMINATORS
MIXED FRACTION
MIXED NUMBERS ARE
QUANTITIES THAT
HAVE A WHOLE
NUMBER PART AND A
FRACTION PART

8. WHEN FRACTIONS CAN BE ADDED AND
SUBTRACTED?
•FRACTIONS CAN BE ONLY ADDED AND
SUBTRACTED WHEN THESE FRACTIONS ARE
SIMILAR FRACTIONS.

9. ADDITION AND SUBTRACTION OF
SIMILAR FRACTION

10. STEPS IN ADDING AND SUBTRACTING
FRACTIONS
•WITH DIFFERENT DENOMINATORS A/B AND C/D, WHERE B AND D ARE NOT
EQUAL TO ZERO. RENAME THE FRACTIONS TO MAKE THEM SIMILAR WHICH
DENOMINATOR IS THE LEAST COMMON MULTIPLE OF B AND D.
•ADD AND SUBTRACT THE NUMERATORS OF THE RESULTING FRACTIONS
•WRITE THE RESULT AS A FRACTION WHOSE NUMERATORS IS THE SUM OR
DIFFERENCE OF THE NUMERATORS AND WHICH DENOMINATOR IS THE LEAST
COMMON MULTIPLE OF B AND D.

11. ADDING AND SUBTRACTING
DISSIMILAR FRACTION

12. STEPS IN ADDING AND SUBTRACTING
MIXED NUMBERS
•FIND THE LCD OF THE FRACTION IN THE MIXED NUMBERS TO MAKE THEM
SIMILAR FRACTIONS.
•ADD AND SUBTRACT THE WHOLE NUMBERS AND THE SIMILAR
FRACTIONS.
•SIMPLIFY IF THE RESULTING FRACTION IS IMPROPER FRACTION.

13. ADDING AND SUBTRACTING MIXED
FRACTIONS

15. MULTIPLICATION AND DIVISION OF FRACTION
MULPICATION OF FRACTION
TO MULTIPLY FRACTIONS, MULTIPLY
NUMERATOR BY NUMERATOR AND
DENOMINATOR BY DENOMINATOR.
WRITE THE ANSWER IN SIMPLEST FORM
𝒂
𝒃
∙
𝒄
𝒅
=
𝒂𝒄
𝒃𝒅
DIVISION OF FRACTION
•A. TO DIVIDE FRACTION, MULTIPLY THE
DIVIDEND BY THE MULTIPLICATIVE INVERSE
(RECIPROCAL) OF THE DIVISOR.
•B. IF THE GIVEN IS MIXED FRACTION,
CHANGE TO IMPROPER FRACTION AND
FOLLOW THE FIRST RULE.
𝑨
𝑩
÷
𝑪
𝑫
=
𝑨
𝑩
∙
𝑫
𝑪
=
𝑨𝑫
𝑩𝑪

16. MULTIPLICATION OF FRACTION

17. DIVISION OF FRACTION

18. ADDTION AND SUBTRACTION OF DECIMALS
REMEMBER: DECIMALS ARE ADDED AND SUBTRACTED JUST LIKE WHOLE NUMBERS,
ALIGN THE DECIMAL POINTS, ADD AND SUBTRACT THE NUMBERS IN COLUMN AND INSERT
THE DECIMAL POINT IN THE ANSWER IMMEDIATELY BENEATH THE DECIMAL POINTS IN THE
NUMBERS BEING ADDED OR SUBTRACTED.

19. MULPLICATION OF DECIMALS

20. DIVISION OF DECIMALS

21. CONGRATULATIONS!!!
YOU MAY NOW PROCEED ANSWERING THE
SELECTED ACTIVITIES.
THANK YOU FOR LISTENING
AMOR F. CABATAN
MATH TEACHER