The document defines fractions and their relationship to decimals. It explains that a fraction such as 3/10 represents the division problem 3 ÷ 10. Through examples of fractions like 3/10, 6/8, and 9/12, it shows how to calculate the decimal equivalent by dividing the numerator by the denominator. This provides the essential information that fractions represent parts of a whole and can be expressed as decimals through division.

1. 7-6 Relating Fractions and
Decimals
Math Notes
Number Sense 1.0 and 1.5

2. If 3 tenths is written 3
10

3. If 3 tenths is written 3
10
25 hundredths
7 tenths
64 thousandths

4. If 3 tenths is written 3
10
25 hundredths
25
100
7 tenths
64 thousandths

5. If 3 tenths is written 3
10
25 hundredths
25
100 7
7 tenths
10
64 thousandths

6. If 3 tenths is written 3
10
25 hundredths
25
100 7
7 tenths
10
64
64 thousandths 1000

7. Vocabulary
Fraction - used to represent PART of a region or a
part of a set

8. Vocabulary
Fraction - used to represent PART of a region or a
part of a set

9. Vocabulary
Fraction - used to represent PART of a region or a
part of a set
3
3 Numerator: number of green parts

10. Vocabulary
Fraction - used to represent PART of a region or a
part of a set
3
10
3 Numerator: number of green parts
10 Denominator: number of equal parts

12. 3
10 means 3 ÷ 10

13. 3
10 means 3 ÷ 10
10 3

14. 3
10 means 3 ÷ 10
10 3.

15. 3
10 means 3 ÷ 10
10 3.0

16. 3
10 means 3 ÷ 10
10 3.0

17. 3
10 means 3 ÷ 10
0
10 3.0

18. 3
10 means 3 ÷ 10
03
10 3.0

19. 3
10 means 3 ÷ 10
03
10 3.0
30

20. 3
10 means 3 ÷ 10
03
10 3.0
30

21. 3
10 means 3 ÷ 10
03
10 3.0
30
0

22. 3
10 means 3 ÷ 10
0.3
10 3.0
30
0

24. 3
10

25. 3 = ÷
3 10
10

26. 3 = ÷
3 10 =
10

27. 3 = ÷
3 10 = 0.3
10

28. 3 = ÷
3 10 = 0.3
10
fraction

29. 3 = ÷
3 10 = 0.3
10 use
fraction division

30. 3 = ÷
3 10 = 0.3
10 use decimal
fraction division

32. 6 Numerator: number of blue parts
8 Denominator: number of equal parts

33. 6
8 means 6 ÷ 8

34. 6
8 means 6 ÷ 8
8 6

35. 6
8 means 6 ÷ 8
8 6.

36. 6
8 means 6 ÷ 8
8 6.0

37. 6
8 means 6 ÷ 8
8 6.0

38. 6
8 means 6 ÷ 8
0
8 6.0

39. 6
8 means 6 ÷ 8
07
8 6.0

40. 6
8 means 6 ÷ 8
07
8 6.0
56

41. 6
8 means 6 ÷ 8
07
8 6.0
56

42. 6
8 means 6 ÷ 8
07
8 6.0
56
4

43. 6
8 means 6 ÷ 8
07
8 6.0 0
56
4

44. 6
8 means 6 ÷ 8
07
8 6.0 0
56
4

45. 6
8 means 6 ÷ 8
07
8 6.0 0
56
40

46. 6
8 means 6 ÷ 8
0 75
8 6.0 0
56
40

47. 6
8 means 6 ÷ 8
0 75
8 6.0 0
56
40
40

48. 6
8 means 6 ÷ 8
0 75
8 6.0 0
56
40
40

49. 6
8 means 6 ÷ 8
0 75
8 6.0 0
56
40
40
0

50. 6
8 means 6 ÷ 8
0. 7 5
8 6.0 0
56
40
40
0

52. 6
8

53. 6 = ÷
6 8
8

54. 6 = ÷
6 8 =
8

55. 6 = ÷
6 8 = 0.75
8

56. 6 = ÷
6 8 = 0.75
8
fraction

57. 6 = ÷
6 8 = 0.75
8 use
fraction division

58. 6 = ÷
6 8 = 0.75
8 use decimal
fraction division

60. 9 Numerator: number of orange parts
12 Denominator: number of equal parts

61. 9
12 means 9 ÷ 12

62. 9
12 means 9 ÷ 12
12 9

63. 9
12 means 9 ÷ 12
12 9.

64. 9
12 means 9 ÷ 12
12 9.0

65. 9
12 means 9 ÷ 12
12 9.0

66. 9
12 means 9 ÷ 12
0
12 9.0

67. 9
12 means 9 ÷ 12
07
12 9.0

68. 9
12 means 9 ÷ 12
07
12 9.0
84

69. 9
12 means 9 ÷ 12
07
12 9.0
84

70. 9
12 means 9 ÷ 12
07
12 9.0
84
6

71. 9
12 means 9 ÷ 12
07
12 9.0 0
84
6

72. 9
12 means 9 ÷ 12
07
12 9.0 0
84
6

73. 9
12 means 9 ÷ 12
07
12 9.0 0
84
60

74. 9
12 means 9 ÷ 12
0 75
12 9.0 0
84
60

75. 9
12 means 9 ÷ 12
0 75
12 9.0 0
84
60
60

76. 9
12 means 9 ÷ 12
0 75
12 9.0 0
84
60
60

77. 9
12 means 9 ÷ 12
0 75
12 9.0 0
84
60
60
0

78. 9
12 means 9 ÷ 12
0. 7 5
12 9.0 0
84
60
60
0

80. 6
8

81. 6 = ÷
6 8
8

82. 6 = ÷
6 8 =
8

83. 6 = ÷
6 8 = 0.75
8

84. 6 = ÷
6 8 = 0.75
8
fraction

85. 6 = ÷
6 8 = 0.75
8 use
fraction division

86. 6 = ÷
6 8 = 0.75
8 use decimal
fraction division