GAddition and Subtractions of Fractions and Mixed Number

Addition and Subtractions of Fractions and Mixed Number

1. QUARTER 1 WEEK 5 DAY 1

2. Directions : Read and solve the problem. Have your solution on a piece of paper. 1) A number and 42 has a GCF of 6 and LCM of 210. What is the number? REVIEW

3. How many times will you multiply the GCF to get this number? REVIEW

4. Imagine that you have a Hawaiian pizza with equal-sized pieces. Some of the pizza has already been eaten, so you have a fraction of the pizza remaining. You could represent the pizza pieces with the figure below.

5. Two are eaten, so the remaining pizza can be represented with the fraction, what?

6. Addition and Subtraction of Fractions and Mixed Numbers (M5NSIe-84)

7. NUMERATOR DENOMINATOR The numerator shows how many parts you have. This numerator shows there is one part. The denominator shows how many parts the whole is divided into. This fraction shows it is divided into two parts.

8. Fractions can be combined through addition or be deducted by subtracting from another fraction. To properly add or subtract fractions, first, we need to determine what type of fractions we are dealing with. There are 3 types of set of fractions: similar fractions , dissimilar fractions, and mixed fractions .

9. Adding or subtracting similar fractions is as easy as one, two, three. Simply get the sum of the numerators then copy the same denominator. If the fractions are dissimilar, change the fractions into similar fractions then follow the same steps in adding similar fractions.

10. Let us try the butterfly method.

11. ACTIVITY 1 Directions: Add or subtract the following fractions: 1. 2.  

12. ACTIVITY 1 3. 4. 5.  

13. ASSESSMENT Directions: A . Add or subtract the following fractions using butterfly method. Express your answer in lowest term/ simplest form if needed and write it in the box.

14. ASSESSMENT

15. ASSESSMENT B. Solve the equation. 4. 5. 7

16. QUARTER 1 WEEK 5 DAY 2

17. REVIEW Directions : Add then reduce to the lowest term whenever possible.   1.   2.

18. REVIEW 3.   4.   5.

19. Addition and Subtraction of Fractions and Mixed Numbers (M5NSIe-84)

20. NUMERATOR DENOMINATOR The numerator shows how many parts you have. This numerator shows there is one part. The denominator shows how many parts the whole is divided into. This fraction shows it is divided into two parts.

21. Fractions can be combined through addition or be deducted by subtracting from another fraction. To properly add or subtract fractions, first, we need to determine what type of fractions we are dealing with. There are 3 types of set of fractions: similar fractions , dissimilar fractions, and mixed fractions .

22. Adding or subtracting similar fractions is as easy as one, two, three. Simply get the sum of the numerators then copy the same denominator. If the fractions are dissimilar, change the fractions into similar fractions then follow the same steps in adding similar fractions.

23. Let us try the butterfly method.

24. ACTIVITY 2 Directions: Add or subtract the following fractions: 1. 2.  

25. ACTIVITY 2 3. 8 4. 5.  

26. ASSESSMENT Directions: Complete the table below by supplying the needed data on the result of school feeding program after 120 days.

27. ASSESSMENT

28. QUARTER 1 WEEK 5 DAY 3

29. Directions: Add or subtract the following fractions and mixed numbers and simplify the answer if possible. Color each scoop of ice cream based on the flavor for each answer. REVIEW

30. REVIEW

31. Solving Real Life Problems Involving Addition and Subtraction of Fractions (M5NSIf-87.2)

32. HOW TO SOLVE WORD PROBLEMS? 1. Understand the problem. 2. Read the problem twice if necessary. 3. Plan how to solve the problem. 4. Use the guide questions to answer the word problem.

33. Example 1: Cris rode his bike for two-fifths of a mile on Monday and three-fourths of a mile on Tuesday. How many miles did he ride altogether?

34. a. What is A sked? Answer: How many miles did he ride altogether? b. What are the G iven facts? Answer: Two-fifths of a mile, three-fourths of a mile

35. c. What Operation to be used? Answer: Addition d. What is the Number sentence? Answer :  

36. e. What is the A nswer? (Solution) Answer:  

37. Example 2 Mrs. Garcia had 5 ¼ meters of white cloth. Judith asked ¾ meter of it for their project. How many meters of cloth were left?

38. a. What is Asked? Answer: The no. of meters of cloth left b. What are the Given facts? Answer: 5 ¼ meters of white cloth and ¾ meter for Judith’s project.

39. c. What Operation to be used? Answer: Subtraction d. What is the Number sentence? Answer :  

40. e. What is the solution and answer? Answer :  

41. ACTIVITY 3 Directions : Solve the word problem using AGONA . Mother both 8 1/4 kg of fish and 5 1/2 kg of meat for our picnic. How many kg. of fish and meat did she buy?

42. ACTIVITY 3 a. What is A sked? b. What are the G iven facts? a. What is A sked? b. What are the G iven facts?

43. ACTIVITY 3 c. What O peration to be used? d. What is the N umber sentence?

44. ACTIVITY 3 e. What is the Answer? (Solution)

45. ASSESSMENT Directions : Read and analyze the following problem. You may solve using any method.

46. ASSESSMENT 1. Ben weighs 44 1/2 kg, Tony weighs 41 𝟓/𝟖 kg and Jun weighs 22 𝟏/𝟒 kg. How much more did Tony and Jun weighs than Ben?

47. ASSESSMENT 2. On her way to school, Jasmine travels 6 3/8 kilometers by bus and 5 2/5 kilometers by tricycle. How far does she travel from her home to school?

48. QUARTER 1 WEEK 5 DAY 4

49. Directions: Elon can carry 4 1/2 gallons of water while Manny can carry 3 1/3 gallons of water. How many gallons of water can they carry altogether? REVIEW

50. REVIEW a. What is A sked? b. What are the G iven facts?

51. REVIEW c. What O peration to be used? d. What is the N umber sentence?

52. REVIEW e. What is the Answer? (Solution)

53. Solving Real Life Problems Involving Addition and Subtraction of Fractions (M5NSIf-87.2)

54. HOW TO SOLVE WORD PROBLEMS? 1. Understand the problem. 2. Read the problem twice if necessary. 3. Plan how to solve the problem. 4. Use the guide questions to answer the word problem.

55. Example 1: Cris rode his bike for two-fifths of a mile on Monday and three-fourths of a mile on Tuesday. How many miles did he ride altogether?

56. a. What is A sked? Answer: How many miles did he ride altogether? b. What are the G iven facts? Answer: Two-fifths of a mile, three-fourths of a mile

57. c. What Operation to be used? Answer: Addition d. What is the Number sentence? Answer :  

58. e. What is the A nswer? (Solution) Answer:  

59. Example 2 Mrs. Garcia had 5 ¼ meters of white cloth. Judith asked ¾ meter of it for their project. How many meters of cloth were left?

60. a. What is Asked? Answer: The no. of meters of cloth left b. What are the Given facts? Answer: 5 ¼ meters of white cloth and ¾ meter for Judith’s project.

61. c. What Operation to be used? Answer: Subtraction d. What is the Number sentence? Answer :  

62. e. What is the solution and answer? Answer :  

63. ACTIVITY 4 Directions: Solve the word problem using AGONA . Anna bought 5 𝟏/𝟐 kilogram of rice. She cooked 1 𝟏/𝟒 kilogram. How many kilograms of rice were left?

64. ACTIVITY 4 a. What is A sked? b. What are the G iven facts?

65. ACTIVITY 4 c. What O peration to be used? d. What is the N umber sentence?

66. ACTIVITY 4 e. What is the Answer? (Solution)

67. ASSESSMENT Directions: Solve the word problem using AGONA . 1. During Family Day at Marie’s School, her brother ran 8 𝟓/𝟗 meters and her dad ran 15 𝟏/𝟗 meters. How far did the two runs?

68. ASSESSMENT 2. Samantha prepared juice. She mixed 1 𝟏/𝟐 liter of orange juice and 3 liters of mango juice. What was the total number of liters that she mixed?