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8-5 Adding Fractions: Unlike Denominators

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8-5 Adding Fractions: Unlike Denominators

  1. 1. 8-5 Adding Fractions: Unlike Denominators Number Sense 2.3
  2. 2. 3 5 + 4 8
  3. 3. 3 4 5 + 8
  4. 4. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 4 5 + 8
  5. 5. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 4 4: 4, 8, 12, 16, 20 5 8: 8, 16, 24, 32, 40 + 8
  6. 6. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 4 4: 4, 8, 12, 16, 20 5 8: 8, 16, 24, 32, 40 + 8
  7. 7. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 4 4: 4, 8, 12, 16, 20 5 8: 8, 16, 24, 32, 40 LCM (LCD) = 8 + 8
  8. 8. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 4 4: 4, 8, 12, 16, 20 5 8: 8, 16, 24, 32, 40 LCM (LCD) = 8 + 8 STEP TWO: Write equivalent fractions using the LCD
  9. 9. 3 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 4 8 4: 4, 8, 12, 16, 20 5 8: 8, 16, 24, 32, 40 = LCM (LCD) = 8 + 8 8 STEP TWO: Write equivalent fractions using the LCD
  10. 10. 3 x2 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 4 x2 8 4: 4, 8, 12, 16, 20 5 x1 8: 8, 16, 24, 32, 40 = LCM (LCD) = 8 + 8 x1 8 STEP TWO: Write equivalent fractions using the LCD
  11. 11. 3 6 x2 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 4 x2 8 4: 4, 8, 12, 16, 20 5 x1 5 8: 8, 16, 24, 32, 40 = LCM (LCD) = 8 + 8 x1 8 STEP TWO: Write equivalent fractions using the LCD
  12. 12. 3 6 x2 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 4 x2 8 4: 4, 8, 12, 16, 20 5 x1 5 8: 8, 16, 24, 32, 40 = LCM (LCD) = 8 + 8 x1 8 STEP TWO: Write equivalent fractions using the LCD STEP THREE: Add. Simplify if necessary
  13. 13. 3 6 x2 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 4 x2 8 4: 4, 8, 12, 16, 20 5 x1 5 8: 8, 16, 24, 32, 40 = LCM (LCD) = 8 + 8 x1 8 STEP TWO: Write equivalent fractions using the LCD 11 STEP THREE: Add. 8 Simplify if necessary
  14. 14. 11 8
  15. 15. 11 8 D
  16. 16. 11 8 D ivide
  17. 17. 11 8 D ivide
  18. 18. 11 1 r3 8 8 11 D ivide 8 3
  19. 19. 11 1 r3 8 8 11 D ivide 8 P R 3 O D
  20. 20. 11 1 r3 8 8 11 D ivide 8 P lace R 3 O D
  21. 21. 11 1 r3 8 8 11 D ivide 8 P lace R emainder 3 O D
  22. 22. 11 1 r3 8 8 11 D ivide 8 P lace R emainder 3 O ver original D
  23. 23. 11 1 r3 8 8 11 D ivide 8 P lace R emainder 3 O ver original D enominator
  24. 24. 11 1 r3 8 8 11 D ivide 8 P lace 3 1 R emainder O ver original D enominator
  25. 25. 11 1 r3 8 8 11 D ivide 8 P lace 3 1 R emainder 3 O ver original D enominator
  26. 26. 11 1 r3 8 8 11 D ivide 8 P lace 3 1 R emainder 3 O 8 ver original D enominator
  27. 27. 3 5 + 8 6
  28. 28. 3 8 5 + 6
  29. 29. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 5 + 6
  30. 30. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 8: 8, 16, 24, 32, 40 5 6: 6, 12, 18, 24, 30 + 6
  31. 31. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 8: 8, 16, 24, 32, 40 5 6: 6, 12, 18, 24, 30 + 6
  32. 32. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 8: 8, 16, 24, 32, 40 5 6: 6, 12, 18, 24, 30 LCM (LCD) = 24 + 6
  33. 33. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 8: 8, 16, 24, 32, 40 5 6: 6, 12, 18, 24, 30 LCM (LCD) = 24 + 6 STEP TWO: Write equivalent fractions using the LCD
  34. 34. 3 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 8 24 8: 8, 16, 24, 32, 40 5 6: 6, 12, 18, 24, 30 = LCM (LCD) = 24 + 6 24 STEP TWO: Write equivalent fractions using the LCD
  35. 35. 3x3 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 8 x324 8: 8, 16, 24, 32, 40 5 x4 6: 6, 12, 18, 24, 30 = LCM (LCD) = 24 + 6 x424STEP TWO: Write equivalent fractions using the LCD
  36. 36. 3 9 x3 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 8 x324 8: 8, 16, 24, 32, 40 5 x420 6: 6, 12, 18, 24, 30 = LCM (LCD) = 24 + 6 x424STEP TWO: Write equivalent fractions using the LCD
  37. 37. 3 9 x3 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 8 x324 8: 8, 16, 24, 32, 40 5 x420 6: 6, 12, 18, 24, 30 = LCM (LCD) = 24 + 6 x424STEP TWO: Write equivalent fractions using the LCD STEP THREE: Add. Simplify if necessary
  38. 38. 3 9 x3 STEP ONE: Find the LCD = The LCD is the LCM of the denominators. 8 x324 8: 8, 16, 24, 32, 40 5 x420 6: 6, 12, 18, 24, 30 = LCM (LCD) = 24 + 6 x424 STEP TWO: Write equivalent fractions using the LCD 29 STEP THREE: Add. 24 Simplify if necessary
  39. 39. 29 24
  40. 40. 29 24 D
  41. 41. 29 24 D ivide
  42. 42. 29 24 D ivide
  43. 43. 29 1 r5 24 24 29 D ivide 24 5
  44. 44. 29 1 r5 24 24 29 D ivide 24 P R 5 O D
  45. 45. 29 1 r5 24 24 29 D ivide 24 P lace R 5 O D
  46. 46. 29 1 r5 24 24 29 D ivide 24 P lace R emainder 5 O D
  47. 47. 29 1 r5 24 24 29 D ivide 24 P lace R emainder 5 O ver original D
  48. 48. 29 1 r5 24 24 29 D ivide 24 P lace R emainder 5 O ver original D enominator
  49. 49. 29 1 r5 24 24 29 D ivide 24 P lace 5 1 R emainder O ver original D enominator
  50. 50. 29 1 r5 24 24 29 D ivide 24 P lace 5 1 R emainder 5 O ver original D enominator
  51. 51. 29 1 r5 24 24 29 D ivide 24 P lace 5 1 R emainder 5 O 24 ver original D enominator

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