The document provides examples for adding and subtracting fractions with the same denominator. It shows step-by-step work for solving multiple fraction addition and subtraction problems, with the goal of demonstrating how to combine like fractions by adding or subtracting the numerators and keeping the same denominator. Visual representations are included to illustrate fraction concepts such as what fraction is shaded in a diagram.

1. Skill 1.3 - Add and Subtract Fractions
1/19/2011
Do Now
1) 7 - (-7) You only have 3 minutes
so get started
2) (4)(7)
3) 40 / -2

2. Skill 1.3 - Add and Subtract Fractions
1/19/2011
Do Now
1) 7 - (-7) You only have 3 minutes
so get started
2) (4)(7)
3) 40 / -2

4. Mike

5. Mike
Chip

6. Mike
Chip
Chancz

7. Mike Dewayne
Chip
Chancz

8. Mike Dewayne
Chip
Chancz

9. Mike Dewayne
Chip
Chancz

10. Mike Dewayne
Raven
Chip
Chancz

11. Mike Dewayne
Raven
Chip
Chancz

12. Mike Dewayne
Raven
Chip
Chancz

14. How do we get Olivia a fair amount?

15. How do we get Olivia a fair amount?
Lets use Math!

18. 1
4

21. 1
5

25. 1
20

26. =
=

27. =
1
4
=

28. =
1 1
4 5
=

29. - =
-
1 1
4 5
=

30. - =
-
1 1 1
4 5
= 20

31. Fractions

32. Fractions

33. Fractions

34. Fractions

35. Fractions
1
4
€

36. Fractions
1
4
€

37. Fractions
1 4
=
4 16
€€

38. Fractions
1 4
=
4 16
€€

39. Fractions
1 4
= =
4 16 64
€€ €

40. Fractions
1 4 16
= =
4 16 64
€
€€ €

41. Fractions

42. Fractions

43. Fractions

44. Fractions
1
9
€

45. Fractions

46. Fractions
2
9
€

47. Fractions
2
9
€

48. Fractions
2
9
€

49. Fractions
2
9
2 1
+ =
9 36
€
€

50. Fractions
2
9
2 1
+ =
9 36
€
8 1
+ =
36 36
€

51. Fractions
2
9
2 1
+ =
9 36
€
8 1 9
+ =
36 36 36
€

52. Fractions
2
9
2 1
+ =
9 36
€
8 1 9 1
+ = =
36 36 36 4
€

53. Fractions

54. Fractions

55. Fractions

56. Fractions

57. Fractions

58. What fraction is shaded here?

59. What fraction is shaded here?

60. Here, I’ll make it easier

61. Now, what fraction is shaded here?
1
8
€

62. Now, what fraction is shaded here?
1
8
€

63. Is that easier?
1
8
€

64. Now, let us solve a math problem
1
8
€

65. Now, let us solve a math problem
1
8
€

66. Now, let us solve a math problem
1
8
€

67. Now, let us solve a math problem
1 3
+ =
8 16
€€

68. Now, let us solve a math problem
1 3
+ =
8 16
2 3
+ =
16 16
€€
€

69. Now, let us solve a math problem
1 3
+ =
8 16
2 3 5
+ =
16 16 16
€€
€ €

70. More Fractions

71. More Fractions

72. More Fractions

73. More Fractions

74. Fractions - Same Denominator

75. Fractions - Same Denominator
1. 4 2
+ =
7 7
€

76. Fractions - Same Denominator
1. 4 2 6
+ =
7 7 7
€ €

77. Fractions - Same Denominator
1. 4 2 6
+ =
7 7 7
4 2
2. + =
€ 9 9
€
€

78. Fractions - Same Denominator
1. 4 2 6
+ =
7 7 7
4 2
2. + =
€ 9 9
€
7 5
3. + =
€ 10 10
€

79. Fractions - Same Denominator
1. 4 2 6
+ =
7 7 7
4 2
2. + =
€ 9 9
€
7 5
3. + =
€ 10 10
7 5
4. − =
€ 10 10

80. Fractions - Same Denominator
1. 4 2 6
+ =
7 7 7
4 2
2. + =
€ 9 9
€
7 5
3. + =
€ 10 10
7 5
4. − =
€ 10 10

81. Fractions - Same Denominator
1. 4 2 6 5. 2 12
+ = + =
7 7 7 13 13
4 2
2. + =
€ 9 9
€ €
7 5
3. + =
€ 10 10
7 5
4. − =
€ 10 10

82. Fractions - Same Denominator
1. 4 2 6 5. 2 12
+ = + =
7 7 7 13 13
4 2 2 12
2. + = 6. − =
€ 9 9
€ € 13 13
7 5
3. + =
€ 10 10 €
7 5
4. − =
€ 10 10

83. Fractions - Same Denominator
1. 4 2 6 5. 2 12
+ = + =
7 7 7 13 13
4 2 2 12
2. + = 6. − =
€ 9 9
€ € 13 13
7 5 14 4
3. + = 7. − =
€ 10 10 € 50 50
7 5
4. − =
€ 10 10 €

84. Fractions - Same Denominator
1. 4 2 6 5. 2 12
+ = + =
7 7 7 13 13
4 2 2 12
2. + = 6. − =
€ 9 9
€ € 13 13
7 5 14 4
3. + = 7. − =
€ 10 10 € 50 50
7 5 12 13
4. − = 8. + =
€ 10 10 € 25 25

85. Fractions - Same Denominator
1. 4 2 6 5. 2 12
+ = + =
7 7 7 13 13
4 2 6 2 12
2. + = 6. − =
€ 9 9
€ 9 € 13 13
7 5 14 4
3. + = 7. − =
€ 10 10
€ € 50 50
7 5 12 13
4. − = 8. + =
€ 10 10 € 25 25

86. Fractions - Same Denominator
1. 4 2 6 5. 2 12
+ = + =
7 7 7 13 13
4 2 6 2 2 12
2. + = 6. − =
€ 9 9
€ 9 3€ 13 13
7 5 14 4
3. + = 7. − =
€ 10 10
€ € € 50 50
7 5 12 13
4. − = 8. + =
€ 10 10 € 25 25

87. Fractions - Same Denominator
1. 4 2 6 5. 2 12
+ = + =
7 7 7 13 13
4 2 6 2 2 12
2. + = 6. − =
€ 9 9
€ 9 3€ 13 13
7 5 12 14 4
3. + = 7. − =
€ 10 10 10
€ € € 50 50
7 5 12 13
4. − = 8. + =
€ 10 10
€ € 25 25

88. Fractions - Same Denominator
1. 4 2 6 5. 2 12
+ = + =
7 7 7 13 13
4 2 6 2 2 12
2. + = 6. − =
€ 9 9
€ 9 3€ 13 13
7 5 12 6 14 4
3. + = 7. − =
€ 10 10 10
€ € 5€ 50 50
7 5 12 13
4. − = 8. + =
€ 10 10
€ € € 25 25

89. Fractions - Same Denominator
1. 4 2 6 5. 2 12
+ = + =
7 7 7 13 13
4 2 6 2 2 12
2. + = 6. − =
€ 9 9
€ 9 3€ 13 13
7 5 12 6 14 4
3. + = 7. − =
€ 10 10 10
€ € 5€ 50 50
7 5 2 12 13
4. − = 8. + =
€ 10 10 10
€ € € 25 25

90. Fractions - Same Denominator
1. 4 2 6 5. 2 12
+ = + =
7 7 7 13 13
4 2 6 2 2 12
2. + = 6. − =
€ 9 9
€ 9 3€ 13 13
7 5 12 6 14 4
3. + = 7. − =
€ 10 10 10
€ € 5€ 50 50
7 5 2 1 12 13
4. − = 8. + =
€ 10 10 10
€ € 5€ 25 25

91. Fractions - Same Denominator
1. 4 2 6 5. 2 12 14
+ = + =
7 7 7 13 13 13
4 2 6 2 2 12
2. + = 6. − =
€ 9 9
€ 9 3€ 13€ 13
7 5 12 6 14 4
3. + = 7. − =
€ 10 10 10
€ € 5€ 50 50
7 5 2 1 12 13
4. − = 8. + =
€ 10 10 10
€ € 5€ 25 25

92. Fractions - Same Denominator
1. 4 2 6 5. 2 12 14
+ = + =
7 7 7 13 13 13
4 2 6 2 2 12 −10
2. + = 6. − =
€ 9 9
€ 9 3€ 13€ 13 13
7 5 12 6 14 4
3. + = 7. − =
€ 10 10 10
€ € 5€ 50 50
€
7 5 2 1 12 13
4. − = 8. + =
€ 10 10 10
€ € 5€ 25 25

93. Fractions - Same Denominator
1. 4 2 6 5. 2 12 14
+ = + =
7 7 7 13 13 13
4 2 6 2 2 12 −10
2. + = 6. − =
€ 9 9
€ 9 3€ 13€ 13 13
7 5 12 6 14 4 10
3. + = 7. − =
€ 10 10 10
€ € 5€ 50 50
€ 50
7 5 2 1 12 13
4. − = 8. + =
€ 10 10 10
€ € 5€ 25 25
€

94. Fractions - Same Denominator
1. 4 2 6 5. 2 12 14
+ = + =
7 7 7 13 13 13
4 2 6 2 2 12 −10
2. + = 6. − =
€ 9 9
€ 9 3€ 13€ 13 13
7 5 12 6 14 4 10 1
3. + = 7. − =
€ 10 10 10
€ € 5€ 50 50
€ 50 5
7 5 2 1 12 13
4. − = 8. + =
€ 10 10 10
€ € 5€ 25 25 €
€

95. Fractions - Same Denominator
1. 4 2 6 5. 2 12 14
+ = + =
7 7 7 13 13 13
4 2 6 2 2 12 −10
2. + = 6. − =
€ 9 9
€ 9 3€ 13€ 13 13
7 5 12 6 14 4 10 1
3. + = 7. − =
€ 10 10 10
€ € 5€ 50 50
€ 50 5
7 5 2 1 12 13 25
4. − = 8. + =
€ 10 10 10
€ € 5€ 25 25 € 25
€

96. Fractions - Same Denominator
1. 4 2 6 5. 2 12 14
+ = + =
7 7 7 13 13 13
4 2 6 2 2 12 −10
2. + = 6. − =
€ 9 9
€ 9 3€ 13€ 13 13
7 5 12 6 14 4 10 1
3. + = 7. − =
€ 10 10 10
€ € 5€ 50 50
€ 50 5
7 5 2 1 12 13 25
4. − = 8. + = 1
€ 10 10 10
€ € 5€ 25 25 € 25
€

97. Fractions - Different Denominators
1 2
- =
7 9

98. Fractions - Different Denominators
1 x9 2
- =
7 x9 9

99. Fractions - Different Denominators
1 x9 2 x7
- =
7 x9 9 x7

100. Fractions - Different Denominators
1 x9 2 x7
- =
7 x9 9 x7
9
-
63

101. Fractions - Different Denominators
1 x9 2 x7
- =
7 x9 9 x7
9 14
-
63 63

102. Fractions - Different Denominators
1 x9 2 x7
- =
7 x9 9 x7
9 14
- =
63 63

103. Fractions - Different Denominators
1 x9 2 x7
- =
7 x9 9 x7
9 14 -5
- =
63 63 63

104. Fractions - Different Denominators
1 x9 2 x7
- =
7 x9 9 x7
9 14 -5
- =
63 63 63

105. Fractions - Different Denominators
7 2
- =
9 6

106. Fractions - Different Denominators
7 x2 2
- =
9 x2 6

107. Fractions - Different Denominators
7 x2 2 x3
- =
9 x2 6 x3

108. Fractions - Different Denominators
7 x2 2 x3
- =
9 x2 6 x3
14
-
18

109. Fractions - Different Denominators
7 x2 2 x3
- =
9 x2 6 x3
14 6
-
18 18

110. Fractions - Different Denominators
7 x2 2 x3
- =
9 x2 6 x3
14 6 8
- =
18 18 18

111. Fractions - Different Denominators
7 x2 2 x3
- =
9 x2 6 x3
14 6 8 ÷2
- =
18 18 18 ÷ 2

112. Fractions - Different Denominators
7 x2 2 x3
- =
9 x2 6 x3
14 6 8 ÷2 4
- = =
18 18 18 ÷ 2 9

113. Fractions - Different Denominators
7 x2 2 x3
- =
9 x2 6 x3
14 6 8 ÷2 4
- = =
18 18 18 ÷ 2 9

114. Independent Work Time

115. Independent Work Time