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