8-5 Adding Fractions: Unlike Denominators
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The document provides steps for adding fractions with unlike denominators: 1) Find the lowest common multiple (LCM) of the denominators, which is the least common multiple and becomes the new denominator. 2) Write the fractions with the common denominator by multiplying the numerators and denominators by the necessary factors. 3) Add the newly written fractions and simplify if needed.
8-5 Adding Fractions: Unlike Denominators
- 2. 8-5 Adding Fractions: Unlike Denominators Number Sense 2.3
- 4. 3 5 + 4 8
- 5. 3 4 5 + 8
- 6. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 4 5 + 8
- 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 + 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 + 8
- 9. 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
- 10. 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
- 11. 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
- 12. 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
- 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
- 14. 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
- 15. 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
- 16. 11 8
- 17. 11 8 D
- 18. 11 8 D ivide
- 19. 11 8 D ivide
- 20. 11 1 r3 8 8 11 D ivide 8 3
- 21. 11 1 r3 8 8 11 D ivide 8 P R 3 O D
- 22. 11 1 r3 8 8 11 D ivide 8 P lace R 3 O D
- 23. 11 1 r3 8 8 11 D ivide 8 P lace R emainder 3 O D
- 24. 11 1 r3 8 8 11 D ivide 8 P lace R emainder 3 O ver original D
- 25. 11 1 r3 8 8 11 D ivide 8 P lace R emainder 3 O ver original D enominator
- 26. 11 1 r3 8 8 11 D ivide 8 P lace 3 1 R emainder O ver original D enominator
- 27. 11 1 r3 8 8 11 D ivide 8 P lace 3 1 R emainder 3 O ver original D enominator
- 28. 11 1 r3 8 8 11 D ivide 8 P lace 3 1 R emainder 3 O 8 ver original D enominator
- 30. 3 5 + 8 6
- 31. 3 8 5 + 6
- 32. 3 STEP ONE: Find the LCD The LCD is the LCM of the denominators. 8 5 + 6
- 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 + 6
- 34. 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
- 35. 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
- 36. 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
- 37. 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
- 38. 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
- 39. 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
- 40. 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
- 41. 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
- 42. 29 24
- 43. 29 24 D
- 44. 29 24 D ivide
- 45. 29 24 D ivide
- 46. 29 1 r5 24 24 29 D ivide 24 5
- 47. 29 1 r5 24 24 29 D ivide 24 P R 5 O D
- 48. 29 1 r5 24 24 29 D ivide 24 P lace R 5 O D
- 49. 29 1 r5 24 24 29 D ivide 24 P lace R emainder 5 O D
- 50. 29 1 r5 24 24 29 D ivide 24 P lace R emainder 5 O ver original D
- 51. 29 1 r5 24 24 29 D ivide 24 P lace R emainder 5 O ver original D enominator
- 52. 29 1 r5 24 24 29 D ivide 24 P lace 5 1 R emainder O ver original D enominator
- 53. 29 1 r5 24 24 29 D ivide 24 P lace 5 1 R emainder 5 O ver original D enominator
- 54. 29 1 r5 24 24 29 D ivide 24 P lace 5 1 R emainder 5 O 24 ver original D enominator