1. 8-8 Subtracting Mixed
Numbers
Number Sense 2.3

2. 19 1
3 9 11
12

3. 19 1
3 - 9 11
12

4. 19 1
3
9 11
12

5. 19 1
STEP ONE: Find the LCD
The LCD is the LCM of the
3
denominators.
9 11
12

6. 19 1
STEP ONE: Find the LCD
The LCD is the LCM of the
3
denominators.
9
3: 3, 6, 9, 12, 15
11 12: 12, 24, 36, 48
12

7. 19 1
STEP ONE: Find the LCD
The LCD is the LCM of the
3
denominators.
9
3: 3, 6, 9, 12, 15
11 12: 12, 24, 36, 48
12

8. 19 1
STEP ONE: Find the LCD
The LCD is the LCM of the
3
denominators.
9
3: 3, 6, 9, 12, 15
11 12: 12, 24, 36, 48
12
LCD = 12

9. 19 1
STEP ONE: Find the LCD
The LCD is the LCM of the
3
denominators.
9
3: 3, 6, 9, 12, 15
11 12: 12, 24, 36, 48
12
LCD = 12
STEP TWO: Write equivalent
fractions using the LCD

10. 19 1 =
STEP ONE: Find the LCD
The LCD is the LCM of the
3
denominators.
9
3: 3, 6, 9, 12, 15
11 = 12: 12, 24, 36, 48
12
LCD = 12
STEP TWO: Write equivalent
fractions using the LCD

11. 19 1 =
STEP ONE: Find the LCD
The LCD is the LCM of the
3 12
denominators.
9
3: 3, 6, 9, 12, 15
11 = 12: 12, 24, 36, 48
12 12
LCD = 12
STEP TWO: Write equivalent
fractions using the LCD

12. 19 1 x4
STEP ONE: Find the LCD
= The LCD is the LCM of the
3 x4 12
denominators.
9
3: 3, 6, 9, 12, 15
11 =
x1 12: 12, 24, 36, 48
12 x1 12
LCD = 12
STEP TWO: Write equivalent
fractions using the LCD

13. 19 1 x4 4
STEP ONE: Find the LCD
= The LCD is the LCM of the
3 x4 12
denominators.
9
3: 3, 6, 9, 12, 15
11 =
x1 12: 12, 24, 36, 48
12 x1 12
LCD = 12
STEP TWO: Write equivalent
fractions using the LCD

14. 19 1 x4 4
STEP ONE: Find the LCD
= The LCD is the LCM of the
3 x4 12
denominators.
9
3: 3, 6, 9, 12, 15
x1 11
11 = 12: 12, 24, 36, 48
12 x1 12
LCD = 12
STEP TWO: Write equivalent
fractions using the LCD

15. 19 1 x4 4
STEP ONE: Find the LCD
= The LCD is the LCM of the
3 x4 12
denominators.
9
3: 3, 6, 9, 12, 15
x1 11
11 = 12: 12, 24, 36, 48
12 x1 12
LCD = 12
STEP TWO: Write equivalent
fractions using the LCD
Can you subtract a smaller
fraction from a larger fraction?

16. Rename
19 4
12
9 11
12

17. Rename
19 4
12
9 11
12

18. Rename
4
12
9 11
12

19. Rename
18+1 4
12
9 11
12

20. Rename
18+ 1 4
12
9 11
12

21. Rename
18+ 4
12
9 11
12

22. Rename
18+ 12 4
12 12
9 11
12

23. Rename
18+ 12 + 4
12 12
9 11
12

24. Rename
18+ 12 + 4
12 12
16
12
9 11
12

25. Rename
18+ 16
12
9 11
12

26. Rename
18 16
12
9 11
12

27. Rename
18 16
12
9 11
12

28. Rename
18 16
12
9 11
12
9 5
12

29. 12 6
2
5 - 1
2

30. 12 2
5
6 1
2

31. 12 2
STEP ONE: Find the LCD
The LCD is the LCM of the
5
denominators.
6 1
2

32. 12 2
STEP ONE: Find the LCD
The LCD is the LCM of the
5
denominators.
6
5: 5, 10, 15, 20, 25
1 2: 2, 4, 6, 8, 10
2

33. 12 2
STEP ONE: Find the LCD
The LCD is the LCM of the
5
denominators.
6
5: 5, 10, 15, 20, 25
1 2: 2, 4, 6, 8, 10
2

34. 12 2
STEP ONE: Find the LCD
The LCD is the LCM of the
5
denominators.
6
5: 5, 10, 15, 20, 25
1 2: 2, 4, 6, 8, 10
2
LCD = 10

35. 12 2
STEP ONE: Find the LCD
The LCD is the LCM of the
5
denominators.
6
5: 5, 10, 15, 20, 25
1 2: 2, 4, 6, 8, 10
2
LCD = 10
STEP TWO: Write equivalent
fractions using the LCD

36. 12 2=
STEP ONE: Find the LCD
The LCD is the LCM of the
5
denominators.
6
5: 5, 10, 15, 20, 25
1 = 2: 2, 4, 6, 8, 10
2
LCD = 10
STEP TWO: Write equivalent
fractions using the LCD

37. 12 2=
STEP ONE: Find the LCD
The LCD is the LCM of the
5 10
denominators.
6
5: 5, 10, 15, 20, 25
1 = 2: 2, 4, 6, 8, 10
2 10
LCD = 10
STEP TWO: Write equivalent
fractions using the LCD

38. 12 2 x2
STEP ONE: Find the LCD
= The LCD is the LCM of the
5 x2 10
denominators.
6
5: 5, 10, 15, 20, 25
1 =
x5 2: 2, 4, 6, 8, 10
2 x510
LCD = 10
STEP TWO: Write equivalent
fractions using the LCD

39. 12 2 x2 4
STEP ONE: Find the LCD
= The LCD is the LCM of the
5 x2 10
denominators.
6
5: 5, 10, 15, 20, 25
1 =
x5 2: 2, 4, 6, 8, 10
2 x510
LCD = 10
STEP TWO: Write equivalent
fractions using the LCD

40. 12 2 x2 4
STEP ONE: Find the LCD
= The LCD is the LCM of the
5 x2 10
denominators.
6
5: 5, 10, 15, 20, 25
x5 5
1 = 2: 2, 4, 6, 8, 10
2 x510
LCD = 10
STEP TWO: Write equivalent
fractions using the LCD

41. 12 2 x2 4
STEP ONE: Find the LCD
= The LCD is the LCM of the
5 x2 10
denominators.
6
5: 5, 10, 15, 20, 25
x5 5
1 = 2: 2, 4, 6, 8, 10
2 x510
LCD = 10
STEP TWO: Write equivalent
fractions using the LCD
Can you subtract a smaller
fraction from a larger fraction?

42. Rename
12 4
10
6 5
10

43. Rename
12 4
10
6 5
10

44. Rename
4
10
6 5
10

45. Rename
11 +1 4
10
6 5
10

46. Rename
11 + 1 4
10
6 5
10

47. Rename
11 + 4
10
6 5
10

48. Rename
11 + 10 4
10 10
6 5
10

49. Rename
11 + 10 + 4
10 10
6 5
10

50. Rename
11 + 10 + 4
10 10
14
10
6 5
10

51. Rename
11 + 14
10
6 5
10

52. Rename
11 14
10
6 5
10

53. Rename
11 14
10
6 5
10

54. Rename
11
14
10
6
5
10
59
10

55. 6 - 4 2
8

56. 62
48

57. 62
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
48

58. 62
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
48
6

59. 62
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
48
6

60. 62
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
48
6 5

61. 62
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
48
6 5 +

62. 62
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
48
6 5 1 +

63. 62
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
48
6 5 1 +
STEP TWO: Change the “1” in a
fraction. Take notice of
the denominator.

64. 62
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
48
6 5 1 +
STEP TWO: Change the “1” in a
fraction. Take notice of
the denominator.

65. 62
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
48
6 5 +
STEP TWO: Change the “1” in a
fraction. Take notice of
the denominator.

66. 62
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
4 6 5 8
+8
8 STEP TWO: Change the “1” in a
fraction. Take notice of
the denominator.

67. STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
4 6 5 8
+8
2
8 STEP TWO: Change the “1” in a
fraction. Take notice of
the denominator.

68. 5 8
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
8
4 6 5 8
+8
2
8 STEP TWO: Change the “1” in a
fraction. Take notice of
the denominator.

69. 5 8
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
8
4 6 5 8
+8
2
8 STEP TWO: Change the “1” in a
1
fraction. Take notice of
the denominator.
6
8

70. 5 8
STEP ONE: The whole number
doesn’t have a fraction.
So rename the whole number.
8
4 6 5 8
+8
2
8 STEP TWO: Change the “1” in a
1
fraction. Take notice of
the denominator.
6
8 STEP THREE: Don’t forget to
simplify your answer.

71. Rename
12 4
10
6 5
10

72. Rename
12 4
10
6 5
10

73. Rename
4
10
6 5
10

74. Rename
11 +1 4
10
6 5
10

75. Rename
11 + 1 4
10
6 5
10

76. Rename
11 + 4
10
6 5
10

77. Rename
11 + 10 4
10 10
6 5
10

78. Rename
11 + 10 + 4
10 10
6 5
10

79. Rename
11 + 10 + 4
10 10
14
10
6 5
10

80. Rename
11 + 14
10
6 5
10

81. Rename
11 14
10
6 5
10

82. Rename
11 14
10
6 5
10

83. Rename
11
14
10
6
5
10
59
10