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Similar to (Math 6 Q1 Wk 1 L2) - Addition and Subtraction of Dissimilar Fractions PPT.pptx
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(Math 6 Q1 Wk 1 L2) - Addition and Subtraction of Dissimilar Fractions PPT.pptx
- 1. Addition and Subtraction of Dissimilar Fractions MATHEMATICS 6 – Q1 Week 1 (Lesson 2)
- 2. WHAT’S IN A. Give the LCD of the following pairs of dissimilar fractions.
- 4. WHAT’S IN B. Change the following dissimilar fractions to similar fractions. Write the answer on your paper.
- 6. WHAT’S NEW Aling Celo, a dressmaker, is sewing facemasks which she will donate for the frontliners. She has 3 pieces of cloth which measure as follows: 𝟏 𝟐 𝒎, 𝟐 𝟑 𝒎, and 𝟒 𝟔 𝒎. How many meters of cloth does she have in all?
- 7. Answer the following questions: 1.) What is the work of Aling Celo? 2.) What does she sew? 3.) To whom would she donate the facemasks? 4.) What is asked in the problem?
- 8. Let’s add 𝟏 𝟐 , 𝟐 𝟑 , 𝒂𝒏𝒅 𝟒 𝟔 step by step.
- 9. 𝟏 𝟐 + 𝟐 𝟑 + 𝟒 𝟔 = 𝑵 The fractions are dissimilar (different denominators).
- 10. 𝟏 𝟐 = 𝟔 𝟐 𝟑 = 𝟔 + 𝟒 𝟔 = 𝟔 Change the fractions to similar by using the least common denominator (LCD) which is 6.
- 11. 𝟏 𝟐 = 𝟔 𝟐 𝟑 = 𝟔 + 𝟒 𝟔 = 𝟔 Divide the LCD by the denominator then multiply the quotient by the numerator. 𝟔 ÷ 𝟐 𝒙𝟏 = 𝟑 3 (𝟔 ÷ 𝟑) 𝒙 𝟐 = 𝟒 4 (𝟔 ÷ 𝟔) 𝒙 𝟒 = 𝟒 4
- 12. 𝟑 𝟔 + 𝟒 𝟔 + 𝟒 𝟔 = 𝟏𝟏 𝟔 Add the numerators over the common denominators.
- 13. 𝟏𝟏 𝟔 = 𝟏 𝟓 𝟔 Simplify your answer or reduce to lowest term.
- 14. Therefore, Aling Celo has 𝟏 𝟓 𝟔 𝒎 of cloth.
- 15. Let’s have another example: 𝟑 𝟓 + 𝟏 𝟔 = 𝑵 The fractions are dissimilar (different denominators).
- 16. 𝟑 𝟓 = 𝟑𝟎 + 𝟏 𝟔 = 𝟑𝟎 Change the fractions to similar by using the least common denominator (LCD) which is 30.
- 17. 𝟑 𝟓 = 𝟑𝟎 + 𝟏 𝟔 = 𝟑𝟎 Divide the LCD by the denominator then multiply the quotient by the numerator. (𝟑𝟎 ÷ 𝟓) 𝒙 𝟑 = 𝟏𝟖 18 (𝟑𝟎 ÷ 𝟔) 𝒙 𝟏 = 𝟓 5
- 18. 𝟑 𝟓 = 𝟏𝟖 𝟑𝟎 + 𝟏 𝟔 = 𝟓 𝟑𝟎 𝟐𝟑 𝟑𝟎 Add the numerators over the common denominators.
- 19. You could also find the difference of two dissimilar fraction following the same steps. 𝟕 𝟗 − 𝟐 𝟑 = 𝑵 The fractions are dissimilar (different denominators).
- 20. 𝟕 𝟗 = 𝟗 − 𝟐 𝟑 = 𝟗 Change the fractions to similar by using the least common denominator (LCD) which is 9.
- 21. 𝟕 𝟗 = 𝟗 − 𝟐 𝟑 = 𝟗 Divide the LCD by the denominator then multiply the quotient by the numerator. (𝟗 ÷ 𝟗) 𝒙 𝟕 = 𝟕 7 (𝟗 ÷ 𝟑) 𝒙 𝟐 = 𝟔 6
- 23. You could subtract mixed fractions with unlike denominators following the same steps. 𝟏𝟐 𝟐 𝟑 − 𝟓 𝟐 𝟓 = 𝑵 The fractions are dissimilar (different denominators).
- 24. 𝟏𝟐 𝟐 𝟑 = 𝟏𝟐 𝟏𝟓 − 𝟓 𝟐 𝟓 = 𝟓 𝟏𝟓 The LCD of 3 and 5 is 15.
- 25. 𝟏𝟐 𝟐 𝟑 = 𝟏𝟐 𝟏𝟓 − 𝟓 𝟐 𝟓 = 𝟓 𝟏𝟓 Divide the LCD by the denominator then multiply the quotient by the numerator. (𝟏𝟓 ÷ 𝟑) 𝒙 𝟐 = 𝟏𝟎 (𝟏𝟓 ÷ 𝟓) 𝒙 𝟐 = 𝟔 10 6
- 26. 𝟏𝟐 𝟐 𝟑 = 𝟏𝟐 𝟏𝟎 𝟏𝟓 − 𝟓 𝟐 𝟓 = 𝟓 𝟔 𝟏𝟓 𝟕 𝟒 𝟏𝟓 Subtract the fractional part then, the whole number.
- 27. More Examples 𝟐 𝟏 𝟐 − 𝟑 𝟒 = 𝑵 The fractions are dissimilar (different denominators).
- 28. 𝟐 𝟏 𝟐 = 𝟐 𝟒 − 𝟑 𝟒 = 𝟒 The LCD of 2 and 4 is 4.
- 29. 𝟐 𝟏 𝟐 = 𝟐 𝟒 − 𝟑 𝟒 = 𝟒 Divide the LCD by the denominator then multiply the quotient by the numerator. (𝟒 ÷ 𝟐) 𝒙 𝟏 = 𝟐 (𝟒 ÷ 𝟒) 𝒙 𝟑 = 𝟑 2 3
- 30. Since 𝟐 𝟒 < 𝟑 𝟒 , we cannot subtract 𝟐 𝟐 𝟒 = 𝟏 + 𝟒 𝟒 + 𝟐 𝟒 = 𝟏 𝟔 𝟒 Therefore, you have to regroup 1 or 𝟒 𝟒 from 2. − 𝟑 𝟒 You can now subtract the fractional part, then whole number. 1 𝟑 𝟒
- 31. WHAT’S MORE Direction Add or subtract. Choose the letter of the correct answer inside the box to discover the word formed.
- 32. 1 𝟏 𝟐 + 𝟐 𝟑 𝟔 = A. 𝟒 𝟑 𝟖 O. 𝟏𝟑 𝟐 𝟐𝟏 C. 𝟏 T. 𝟏𝟒 𝟐𝟑 𝟐𝟒 N. 𝟑 𝟏𝟒 𝟏𝟓 U. 𝟑 𝟑 𝟖
- 33. 2 𝟐 𝟑 𝟕 + 𝟏𝟎 𝟒 𝟔 = A. 𝟒 𝟑 𝟖 O. 𝟏𝟑 𝟐 𝟐𝟏 C. 𝟏 T. 𝟏𝟒 𝟐𝟑 𝟐𝟒 N. 𝟑 𝟏𝟒 𝟏𝟓 U. 𝟑 𝟑 𝟖
- 34. 3 𝟑 𝟕 𝟖 − 𝟏 𝟐 = A. 𝟒 𝟑 𝟖 O. 𝟏𝟑 𝟐 𝟐𝟏 C. 𝟏 T. 𝟏𝟒 𝟐𝟑 𝟐𝟒 N. 𝟑 𝟏𝟒 𝟏𝟓 U. 𝟑 𝟑 𝟖
- 35. 4 𝟗 𝟑 𝟓 − 𝟓 𝟐 𝟑 = A. 𝟒 𝟑 𝟖 O. 𝟏𝟑 𝟐 𝟐𝟏 C. 𝟏 T. 𝟏𝟒 𝟐𝟑 𝟐𝟒 N. 𝟑 𝟏𝟒 𝟏𝟓 U. 𝟑 𝟑 𝟖
- 36. 5 𝟐𝟏 𝟕 𝟏𝟐 − 𝟔 𝟓 𝟖 = A. 𝟒 𝟑 𝟖 O. 𝟏𝟑 𝟐 𝟐𝟏 C. 𝟏 T. 𝟏𝟒 𝟐𝟑 𝟐𝟒 N. 𝟑 𝟏𝟒 𝟏𝟓 U. 𝟑 𝟑 𝟖
- 37. ANSWERS
- 38. 1 𝟏 𝟐 + 𝟐 𝟑 𝟔 = A. 𝟒 𝟑 𝟖 O. 𝟏𝟑 𝟐 𝟐𝟏 C. 𝟏 T. 𝟏𝟒 𝟐𝟑 𝟐𝟒 N. 𝟑 𝟏𝟒 𝟏𝟓 U. 𝟑 𝟑 𝟖
- 39. 2 𝟐 𝟑 𝟕 + 𝟏𝟎 𝟒 𝟔 = A. 𝟒 𝟑 𝟖 O. 𝟏𝟑 𝟐 𝟐𝟏 C. 𝟏 T. 𝟏𝟒 𝟐𝟑 𝟐𝟒 N. 𝟑 𝟏𝟒 𝟏𝟓 U. 𝟑 𝟑 𝟖
- 40. 3 𝟑 𝟕 𝟖 − 𝟏 𝟐 = A. 𝟒 𝟑 𝟖 O. 𝟏𝟑 𝟐 𝟐𝟏 C. 𝟏 T. 𝟏𝟒 𝟐𝟑 𝟐𝟒 N. 𝟑 𝟏𝟒 𝟏𝟓 U. 𝟑 𝟑 𝟖
- 41. 4 𝟗 𝟑 𝟓 − 𝟓 𝟐 𝟑 = A. 𝟒 𝟑 𝟖 O. 𝟏𝟑 𝟐 𝟐𝟏 C. 𝟏 T. 𝟏𝟒 𝟐𝟑 𝟐𝟒 N. 𝟑 𝟏𝟒 𝟏𝟓 U. 𝟑 𝟑 𝟖
- 42. 5 𝟐𝟏 𝟕 𝟏𝟐 − 𝟔 𝟓 𝟖 = A. 𝟒 𝟑 𝟖 O. 𝟏𝟑 𝟐 𝟐𝟏 C. 𝟏 T. 𝟏𝟒 𝟐𝟑 𝟐𝟒 N. 𝟑 𝟏𝟒 𝟏𝟓 U. 𝟑 𝟑 𝟖
- 43. WHAT’S MORE Direction Perform the indicated operation. Reduce your answer to lowest term.
- 44. 𝟏. ) 𝟒 𝟒 𝟓 + 𝟔 𝟏𝟎 = 𝟐. ) 𝟗 𝟑 𝟒 + 𝟑 𝟏𝟐 + 𝟐 𝟐 𝟑 =
- 45. 𝟑. ) 𝟑 𝟒 − 𝟏 𝟏𝟐 = 𝟒. ) 𝟐𝟕 𝟏 𝟒 − 𝟏𝟐 𝟒 𝟓 =
- 46. 𝟓. ) 𝟑𝟔 𝟔 𝟖 − 𝟏𝟑 𝟕 𝟗 =
- 47. ANSWERS
- 48. 𝟏. ) 𝟒 𝟒 𝟓 + 𝟔 𝟏𝟎 = 𝟐. ) 𝟗 𝟑 𝟒 + 𝟑 𝟏𝟐 + 𝟐 𝟐 𝟑 = 𝟓 𝟐 𝟓 𝟏𝟐 𝟐 𝟑
- 49. 𝟑. ) 𝟑 𝟒 − 𝟏 𝟏𝟐 = 𝟒. ) 𝟐𝟕 𝟏 𝟒 − 𝟏𝟐 𝟒 𝟓 = 𝟐 𝟑 𝟏𝟒 𝟗 𝟐𝟎
- 50. 𝟓. ) 𝟑𝟔 𝟔 𝟖 − 𝟏𝟑 𝟕 𝟗 = 𝟐𝟐 𝟑𝟓 𝟑𝟔
- 51. WHAT I CAN DO Direction Find the total.
- 52. 𝟏. ) 𝟔 𝟏 𝟐 + 𝟐 𝟏 𝟑 = 𝟐. ) 𝟏 𝟔 + 𝟏 𝟐 =
- 53. 𝟑. ) 𝟏 𝟐 + 𝟏 𝟓 + 𝟏 𝟏𝟎 = 𝟒. ) 𝟐𝟖 𝟏 𝟐 − 𝟕 𝟑 𝟒 =
- 54. 𝟓. ) 𝟓 𝟐𝟎 + 𝟕 𝟗 𝟏𝟎 + 𝟏 𝟏 𝟐 =
- 55. ANSWERS
- 56. 𝟏. ) 𝟔 𝟏 𝟐 + 𝟐 𝟏 𝟑 = 𝟐. ) 𝟏 𝟔 + 𝟏 𝟐 = 𝟏 𝟏𝟏 𝟒 𝟕
- 57. 𝟑. ) 𝟏 𝟐 + 𝟏 𝟓 + 𝟏 𝟏𝟎 = 𝟒. ) 𝟐𝟖 𝟏 𝟐 − 𝟕 𝟑 𝟒 = 𝟏𝟓 𝟏 𝟓 𝟐𝟕 𝟏 𝟑
- 58. 𝟓. ) 𝟓 𝟐𝟎 + 𝟕 𝟗 𝟏𝟎 + 𝟏 𝟏 𝟐 = 𝟐𝟑 𝟐 𝟑
- 59. ASSESSMENT Direction Perform the indicated operation.
- 61. 𝟑. ) 𝟏 𝟐 + 𝟏 𝟓 + 𝟏 𝟏𝟎 = 𝟒. ) 𝟗 𝟓 𝟗 − 𝟔 𝟔 𝟕 =
- 62. 𝟓. ) 𝟏𝟔 𝟕 𝟏𝟐 − 𝟒 𝟒 𝟖 =
- 63. ANSWERS
- 65. 𝟑. ) 𝟏 𝟐 + 𝟏 𝟓 + 𝟏 𝟏𝟎 = 𝟒. ) 𝟗 𝟓 𝟗 − 𝟔 𝟔 𝟕 = 𝟑 𝟐𝟔 𝟒𝟓 𝟐 𝟒𝟒 𝟔𝟑
- 66. 𝟓. ) 𝟏𝟔 𝟕 𝟏𝟐 − 𝟒 𝟒 𝟖 = 𝟏𝟐 𝟏 𝟏𝟐
- 67. ADDITIONAL ACTIVITY Direction Fill-in the blanks to complete the steps on How to Add and Subtract Dissimilar Fractions and Mixed Fractions.
- 68. 1 To add and subtract dissimilar fractions, find the ____________________ to make them similar. Divide LCD by the ____________________ then multiply the quotient by the ____________________. Continue the process using the steps in adding and subtracting similar fractions.
- 69. 2 To add and subtract mixed fractions with dissimilar fractions, rewrite the ____________________ parts to similar fractions using the ____________________. Regroup the similar fractions if necessary, then perform the indicated operation. Write the answer in ____________________ terms, if possible.