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.

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