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# MATHEMATICS 4 - FRACTIONS - PART III - CHANGING FRACTIONS TO LOWEST TERMS.pdf

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# MATHEMATICS 4 - FRACTIONS - PART III - CHANGING FRACTIONS TO LOWEST TERMS.pdf

MATH 4

MATH 4

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### MATHEMATICS 4 - FRACTIONS - PART III - CHANGING FRACTIONS TO LOWEST TERMS.pdf

1. 1. SECOND QUARTER JAY CRIS S. MIGUEL MATHEMATICS
2. 2. PRELIMINARY ACTIVITY
3. 3. What fraction is represented by each figure below?
4. 4. What fraction is represented by each figure below? 2 ------ 4 3 ------ 6 4 ------ 8 1 ------ 2
5. 5. What can you notice on the shaded regions of the figures below? 2 ------ 4 3 ------ 6 4 ------ 8 1 ------ 2
6. 6. Let's look closer to the given figures. 2 ------ 4 1 ------ 2
7. 7. Let's look closer to the given figures. 1 ------ 2 3 ------ 6
8. 8. Let's look closer to the given figures. 1 ------ 2 4 ------ 8
9. 9. Notice that 2 ------ 4 3 ------ 6 4 ------ 8 are all equal to 1 ------ 2 and
10. 10. Even if a fraction looks different from another fraction, they may actually represent the same amount only that one of the fractions has reduced terms compared to the other.
11. 11. 2 ------ 4 3 ------ 6 4 ------ 8 is the lowest form of 1 ------ 2 and
12. 12. CHANGING FRACTIONS TO CHANGING FRACTIONS TO LOWEST FORMS LOWEST FORMS
13. 13. LEARNING OBJECTIVE After going through this lesson, learners are expected to change fractions to lowest forms.
14. 14. Reducing fractions to lowest terms involves division, thus you will need your prior knowledge on division. In this lesson, you will learn how to change fraction to its lowest term by dividing both the numerator and denominator with their Greatest Common Factor (GCF). You will be reminded also of the different methods of getting the GCF.
15. 15. Examine these figures. What fraction represents each figure?
16. 16. 2 ------ 8 1 ------ 4 Which fraction is in lowest form?
17. 17. 2 ------ 8 1 ------ 4 Which fraction is in lowest form?
18. 18. We can reduce a fraction to its lowest term by dividing the numerator and the denominator with their Greatest Common Factor (GCF) using any of the following methods: Listing Method Prime Factorization Continuous Division
19. 19. Example: Reduce to its lowest form. 2 ------ 8 In order to reduce the given fraction, identify first the Greatest Common Factor (GCF) of its numerator and denominator. Factors of 2: 1 and 2 Factors of 8: 1, 2, 4, and 8 Common Factors of 2 and 8: 1 and 2 Greatest Common Factor of 2 and 8: 2
20. 20. 2 ------ 8 Next, divide the numerator and denominator of the given fraction by their GCF. 2 2 1 ------ 4
21. 21. 2 ------ 8 Therefore, we can say that the lowest form of 1 ------ 4 is equal to
22. 22. Example: Reduce to its lowest form. 3 ------ 9 In order to reduce the given fraction, identify first the Greatest Common Factor (GCF) of its numerator and denominator. Factors of 3: 1 and 3 Factors of 9: 1, 3, and 9 Common Factors of 3 and 9: 1 and 3 Greatest Common Factor of 3 and 9: 3
23. 23. 3 ------ 9 Next, divide the numerator and denominator of the given fraction by their GCF. 3 3 1 ------ 3
24. 24. 3 ------ 9 Therefore, we can say that the lowest form of 1 ------ 3 is equal to
25. 25. Example: Reduce to its lowest form. 5 ------ 20 In order to reduce the given fraction, identify first the Greatest Common Factor (GCF) of its numerator and denominator. Factors of 5: 1 and 5 Factors of 20: 1, 2, 4, 5, 10, and 20 Common Factors of 5 and 20: 1 and 5 Greatest Common Factor of 5 and 20: 5
26. 26. 5 ------ 20 Next, divide the numerator and denominator of the given fraction by their GCF. 5 5 1 ------ 4
27. 27. 5 ------ 20 Therefore, we can say that the lowest form of 1 ------ 4 is equal to
28. 28. Example: Reduce to its lowest form. 9 ------ 27 In order to reduce the given fraction, identify first the Greatest Common Factor (GCF) of its numerator and denominator. Factors of 9: 1, 3, and 9 Factors of 27: 1, 3, 9, and 27 Common Factors of 9 and 27: 1, 3, and 9 Greatest Common Factor of 9 and 27: 9
29. 29. 9 ------ 27 Next, divide the numerator and denominator of the given fraction by their GCF. 9 9 1 ------ 3
30. 30. 9 ------ 27 Therefore, we can say that the lowest form of 1 ------ 3 is equal to
31. 31. Example: Reduce to its lowest form. 6 ------ 16 In order to reduce the given fraction, identify first the Greatest Common Factor (GCF) of its numerator and denominator. Factors of 6: 1, 2, 3, and 6 Factors of 16: 1, 2, 4, 8, and 16 Common Factors of 6 and 16: 1 and 2 Greatest Common Factor of 6 and 16: 2
32. 32. 6 ------ 16 Next, divide the numerator and denominator of the given fraction by their GCF. 2 2 3 ------ 8
33. 33. 6 ------ 16 Therefore, we can say that the lowest form of 3 ------ 8 is equal to
34. 34. THINK SHARE PAIR
35. 35. Identify the fraction represented by each figure. Then, encircle the fraction which is in its lowest form. NAME:_____________________________________________________________________________________ 2 8 1 4 Example
36. 36. Identify the fraction represented by each figure. Then, encircle the fraction which is in its lowest form. NAME:_____________________________________________________________________________________ Set A
37. 37. Identify the fraction represented by each figure. Then, encircle the fraction which is in its lowest form. NAME:_____________________________________________________________________________________ Set B
38. 38. Identify the fraction represented by each figure. Then, encircle the fraction which is in its lowest form. NAME:_____________________________________________________________________________________ Answer Key 2 6 1 3 1 2 4 8 3 4 6 8 Set A
39. 39. Identify the fraction represented by each figure. Then, encircle the fraction which is in its lowest form. NAME:_____________________________________________________________________________________ Answer Key 1 4 2 8 4 6 2 3 3 4 6 8 Set B
40. 40. FRACTIONS US AROUND
41. 41. READ THE FOLLOWING TRIVIA OR SCIENCE FACTS ON THE SUCCEEDING SLIDES. THEN, ANSWER THE QUESTIONS THAT FOLLOW.
42. 42. Our solar system’s eight planets come in two classifications: smaller rocky planets with solid ground (Mercury, Venus, Earth and Mars) and larger gas giants (Jupiter, Saturn, Uranus, and Neptune).
43. 43. QUESTIONS: 1. What fraction represents the number of small rocky planets with solid grounds? 2. What fraction represents the number of planets which belong to larger gas giants? 3. How do you express your answers in numbers 1 and 2 in their lowest forms?
44. 44. Earth's surface is covered with about 70 percent of water and 30 percent of land.
45. 45. QUESTIONS: 1. What fraction of Earth's surface is covered by water? 2. What fraction of Earth's surface is covered by land? 3. How do you express your answers in numbers 1 and 2 in their lowest forms?
46. 46. With an average of roughly 60 percent, most of the human body is water. The amount of water in the body changes slightly with age, gender, and hydration levels.
47. 47. QUESTIONS: 1. What fraction represents the average percentage of water in the human body? 2. How do you express your answer in number 1 in its lowest form?
48. 48. QUESTIONS: 1. What fraction represents the number of small rocky planets with solid grounds? 2. What fraction represents the number of planets which belong to larger gas giants? 3. How do you express your answers in numbers 1 and 2 in their lowest forms? Answer Key 4 ------ 8 4 ------ 8 1 ------ 2 1 ------ 2
49. 49. QUESTIONS: 1. What fraction of Earth's surface is covered by water? 2. What fraction of Earth's surface is covered by land? 3. How do you express your answers in numbers 1 and 2 in their lowest forms? Answer Key 70 ------ 100 30 ------ 100 7 ------ 10 3 ------ 10
50. 50. QUESTIONS: 1. What fraction represents the average percentage of water in the human body? 2. How do you express your answer in number 1 in its lowest form? Answer Key 60 ------ 100 3 ------ 5
51. 51. ALWAYS THESE REMEMBER
52. 52. A fraction is in its lowest form if the numerator and the denominator have no other common factor except 1. To reduce a fraction to its lowest form, divide the numerator and denominator by their Greatest Common Factor (GCF).
53. 53. IT'S TIME KNOWLEDGE TO TEST YOUR
54. 54. NAME:______________________________________________________________________________________ Match each fraction in Column A with its lowest term in Column B. COLUMN A COLUMN B 8 ---- 24 5 ---- 40 12 ---- 28 30 ---- 48 28 ---- 56 3 ---- 7 1 ---- 2 1 ---- 3 1 ---- 8 5 ---- 8
55. 55. NAME:______________________________________________________________________________________ Match each fraction in Column A with its lowest term in Column B. COLUMN A COLUMN B 8 ---- 24 5 ---- 40 12 ---- 28 30 ---- 48 28 ---- 56 3 ---- 7 1 ---- 2 1 ---- 3 1 ---- 8 5 ---- 8 Answer Key