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7-7 Equivalent Fractions
       Number Sense 1.5
Definitions
Fractions that name the same
amount are called EQUIVALENT
FRACTIONS
Definitions
Fractions that name the same
amount are called EQUIVALENT
FRACTIONS
Definitions
    Fractions that name the same
    amount are called EQUIVALENT
    FRACTIONS

0                                  1
Definitions
  Fractions that name the same
  amount are called EQUIVALENT
  FRACTIONS
                   1
0                 2              1
Definitions
  Fractions that name the same
  amount are called EQUIVALENT
  FRACTIONS
                   1
0                 2              1
Definitions
  Fractions that name the same
  amount are called EQUIVALENT
  FRACTIONS
                   1
0                 2              1
Definitions
  Fractions that name the same
  amount are called EQUIVALENT
  FRACTIONS
                   1
0                 2              1
Definitions
  Fractions that name the same
  amount are called EQUIVALENT
  FRACTIONS
                   1
0                 2              1


                                     1
                                     2
Definitions
  Fractions that name the same
  amount are called EQUIVALENT
  FRACTIONS
                   1
0                 2              1


                                     1
                                     2
Definitions
  Fractions that name the same
  amount are called EQUIVALENT
  FRACTIONS
                   1
0                 2              1


                                     1
                                     2
                                     2
                                     4
1
2
1 =
2
1 = 2
2 4
1     2
    =
2     4
1 x2 = 2
2 x2 4
1 x2 = 2
       2 x2 4
         2
Remember 2   3   17 or 987 equals 1 whole.
             3   17    987
1 x2 = 2
       2 x2 4
         2
Remember 2   3   17 or 987 equals 1 whole.
             3   17    987
1 x2 = 2
        2 x2 4
         2
Remember 2    3   17 or 987 equals 1 whole.
              3   17    987
    Multiplying anything by 1 leaves you
        with what you started with.
1 x2 = 2
        2 x2 4
         2
Remember 2    3   17 or 987 equals 1 whole.
              3   17    987
    Multiplying anything by 1 leaves you
        with what you started with.
    Rule: What you do to the numerator,
    you do the SAME to the denominator.
2
4
2 =
4
2 = 1
4 2
2     1
    =
4     2
2 ÷2 = 1
4 ÷2 2
2 ÷2 = 1
       4 ÷2 2
         2
Remember 2   3   17 or 987 equals 1 whole.
             3   17    987
2 ÷2 = 1
       4 ÷2 2
         2
Remember 2   3   17 or 987 equals 1 whole.
             3   17    987
2 ÷2 = 1
        4 ÷2 2
         2
Remember 2    3   17 or 987 equals 1 whole.
              3   17    987
    Multiplying anything by 1 leaves you
        with what you started with.
2 ÷2 = 1
        4 ÷2 2
         2
Remember 2    3   17 or 987 equals 1 whole.
              3   17    987
    Multiplying anything by 1 leaves you
        with what you started with.
    Rule: What you do to the numerator,
    you do the SAME to the denominator.
0   1
1   2   3
0   4   4   4   1
1   2   3
0   4   4   4   1
1   2   3
0   4   4   4   1
1   2   3
0   4   4   4   1
1   2   3
0   4   4   4   1
1   2   3
0   4   4   4   1


                    3
                    4
1   2   3
0   4   4   4   1


                    3
                    4
1   2   3
0   4   4   4   1


                    3
                    4
                    6
                    8
1   2   3
0   4   4   4   1


                    3
                    4
                    6
                    8
1   2   3
0   4   4   4   1


                    3
                    4
                    6
                    8
                    9
                    12
1      2   3
0    4      4   4   1


                        3
                        4
                        6
                        8
                        9
                        12

    3 = 6
    4   8
1      2    3
0    4      4    4       1


                             3
                             4
                             6
                             8
                             9
                             12

    3 = 6       3 = 9
    4   8       4   12
1       2       3
0        4       4       4       1


                                     3
                                     4
                                     6
                                     8
                                     9
                                     12

       3 = 6           3 = 9
       4   8           4   12
    These are EQUIVALENT FRACTIONS
3
4
3 =
4
3 =6
4 8
3    6
    =8
4
3 x 2=6
4 x2 8
3 x 2=6
4 x2 8
3 x 2=6
    4 x2 8



Rule: What you do to the numerator,
you do the SAME to the denominator.
3 x 2=6
    4 x2 8

           3
           4
Rule: What you do to the numerator,
you do the SAME to the denominator.
3 x 2=6
    4 x2 8

           3 =
           4
Rule: What you do to the numerator,
you do the SAME to the denominator.
3 x 2=6
    4 x2 8

           3 =9
           4 12
Rule: What you do to the numerator,
you do the SAME to the denominator.
3 x 2=6
    4 x2 8

    3               9
                 =
    4              12
Rule: What you do to the numerator,
you do the SAME to the denominator.
3 x 2=6
    4 x2 8

    3 x 3=9
    4 x 3 12
Rule: What you do to the numerator,
you do the SAME to the denominator.
3 x 2=6
    4 x2 8

    3 x 3=9
    4 x 3 12
Rule: What you do to the numerator,
you do the SAME to the denominator.
5 = ?
6 24
5   =  ?
6     24
5           =  ?
     6             24
What number times 6 gives you 24?
5           =  ?
     6             24
What number times 6 gives you 24?   4
5    = ?
     6 x 4 24
What number times 6 gives you 24?   4
5    = ?
     6 x 4 24
What number times 6 gives you 24?   4
 Rule: What you do to the numerator,
 you do the SAME to the denominator.
5 x 4= ?
     6 x 4 24
What number times 6 gives you 24?   4
 Rule: What you do to the numerator,
 you do the SAME to the denominator.
5 x 4=
     6 x 4 24
What number times 6 gives you 24?   4
 Rule: What you do to the numerator,
 you do the SAME to the denominator.
5 x 4 = 20
     6 x 4 24
What number times 6 gives you 24?   4
 Rule: What you do to the numerator,
 you do the SAME to the denominator.
10 = ?
25 5
10   = ?
25     5
10           = ?
25             5
What number do you divide 25
    by that gives you 5?
10           = ?
25             5
What number do you divide 25
    by that gives you 5?       5
10    = ?
25 ÷ 5 5
What number do you divide 25
    by that gives you 5?       5
10    = ?
 25 ÷ 5 5
 What number do you divide 25
     by that gives you 5?        5
Rule: What you do to the numerator,
you do the SAME to the denominator.
10 ÷ 5 = ?
 25 ÷ 5 5
 What number do you divide 25
     by that gives you 5?        5
Rule: What you do to the numerator,
you do the SAME to the denominator.
10 ÷ 5 =
 25 ÷ 5 5
 What number do you divide 25
     by that gives you 5?        5
Rule: What you do to the numerator,
you do the SAME to the denominator.
10 ÷ 5 = 2
 25 ÷ 5 5
 What number do you divide 25
     by that gives you 5?        5
Rule: What you do to the numerator,
you do the SAME to the denominator.

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7-6 Relating Fractions and Decimals
7-6 Relating Fractions and Decimals7-6 Relating Fractions and Decimals
7-6 Relating Fractions and Decimals
 
6-10 Dividing Decimals by Decimals
6-10 Dividing Decimals by Decimals6-10 Dividing Decimals by Decimals
6-10 Dividing Decimals by Decimals
 
6-6 Multiplying with Zeroes in the Product
6-6 Multiplying with Zeroes in the Product6-6 Multiplying with Zeroes in the Product
6-6 Multiplying with Zeroes in the Product
 
6-5 Multiplying Decimals
6-5 Multiplying Decimals6-5 Multiplying Decimals
6-5 Multiplying Decimals
 
6-2 Multiplying Decimals by Whole Numbers
6-2 Multiplying Decimals by Whole Numbers6-2 Multiplying Decimals by Whole Numbers
6-2 Multiplying Decimals by Whole Numbers
 

7-7 Equivalent Fractions

  • 1. 7-7 Equivalent Fractions Number Sense 1.5
  • 2. Definitions Fractions that name the same amount are called EQUIVALENT FRACTIONS
  • 3. Definitions Fractions that name the same amount are called EQUIVALENT FRACTIONS
  • 4. Definitions Fractions that name the same amount are called EQUIVALENT FRACTIONS 0 1
  • 5. Definitions Fractions that name the same amount are called EQUIVALENT FRACTIONS 1 0 2 1
  • 6. Definitions Fractions that name the same amount are called EQUIVALENT FRACTIONS 1 0 2 1
  • 7. Definitions Fractions that name the same amount are called EQUIVALENT FRACTIONS 1 0 2 1
  • 8. Definitions Fractions that name the same amount are called EQUIVALENT FRACTIONS 1 0 2 1
  • 9. Definitions Fractions that name the same amount are called EQUIVALENT FRACTIONS 1 0 2 1 1 2
  • 10. Definitions Fractions that name the same amount are called EQUIVALENT FRACTIONS 1 0 2 1 1 2
  • 11. Definitions Fractions that name the same amount are called EQUIVALENT FRACTIONS 1 0 2 1 1 2 2 4
  • 12.
  • 13. 1 2
  • 14. 1 = 2
  • 15. 1 = 2 2 4
  • 16. 1 2 = 2 4
  • 17. 1 x2 = 2 2 x2 4
  • 18. 1 x2 = 2 2 x2 4 2 Remember 2 3 17 or 987 equals 1 whole. 3 17 987
  • 19. 1 x2 = 2 2 x2 4 2 Remember 2 3 17 or 987 equals 1 whole. 3 17 987
  • 20. 1 x2 = 2 2 x2 4 2 Remember 2 3 17 or 987 equals 1 whole. 3 17 987 Multiplying anything by 1 leaves you with what you started with.
  • 21. 1 x2 = 2 2 x2 4 2 Remember 2 3 17 or 987 equals 1 whole. 3 17 987 Multiplying anything by 1 leaves you with what you started with. Rule: What you do to the numerator, you do the SAME to the denominator.
  • 22.
  • 23. 2 4
  • 24. 2 = 4
  • 25. 2 = 1 4 2
  • 26. 2 1 = 4 2
  • 27. 2 ÷2 = 1 4 ÷2 2
  • 28. 2 ÷2 = 1 4 ÷2 2 2 Remember 2 3 17 or 987 equals 1 whole. 3 17 987
  • 29. 2 ÷2 = 1 4 ÷2 2 2 Remember 2 3 17 or 987 equals 1 whole. 3 17 987
  • 30. 2 ÷2 = 1 4 ÷2 2 2 Remember 2 3 17 or 987 equals 1 whole. 3 17 987 Multiplying anything by 1 leaves you with what you started with.
  • 31. 2 ÷2 = 1 4 ÷2 2 2 Remember 2 3 17 or 987 equals 1 whole. 3 17 987 Multiplying anything by 1 leaves you with what you started with. Rule: What you do to the numerator, you do the SAME to the denominator.
  • 32.
  • 33.
  • 34. 0 1
  • 35. 1 2 3 0 4 4 4 1
  • 36. 1 2 3 0 4 4 4 1
  • 37. 1 2 3 0 4 4 4 1
  • 38. 1 2 3 0 4 4 4 1
  • 39. 1 2 3 0 4 4 4 1
  • 40. 1 2 3 0 4 4 4 1 3 4
  • 41. 1 2 3 0 4 4 4 1 3 4
  • 42. 1 2 3 0 4 4 4 1 3 4 6 8
  • 43. 1 2 3 0 4 4 4 1 3 4 6 8
  • 44. 1 2 3 0 4 4 4 1 3 4 6 8 9 12
  • 45. 1 2 3 0 4 4 4 1 3 4 6 8 9 12 3 = 6 4 8
  • 46. 1 2 3 0 4 4 4 1 3 4 6 8 9 12 3 = 6 3 = 9 4 8 4 12
  • 47. 1 2 3 0 4 4 4 1 3 4 6 8 9 12 3 = 6 3 = 9 4 8 4 12 These are EQUIVALENT FRACTIONS
  • 48.
  • 49. 3 4
  • 50. 3 = 4
  • 52. 3 6 =8 4
  • 53. 3 x 2=6 4 x2 8
  • 54. 3 x 2=6 4 x2 8
  • 55. 3 x 2=6 4 x2 8 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 56. 3 x 2=6 4 x2 8 3 4 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 57. 3 x 2=6 4 x2 8 3 = 4 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 58. 3 x 2=6 4 x2 8 3 =9 4 12 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 59. 3 x 2=6 4 x2 8 3 9 = 4 12 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 60. 3 x 2=6 4 x2 8 3 x 3=9 4 x 3 12 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 61. 3 x 2=6 4 x2 8 3 x 3=9 4 x 3 12 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 62. 5 = ? 6 24
  • 63. 5 = ? 6 24
  • 64. 5 = ? 6 24 What number times 6 gives you 24?
  • 65. 5 = ? 6 24 What number times 6 gives you 24? 4
  • 66. 5 = ? 6 x 4 24 What number times 6 gives you 24? 4
  • 67. 5 = ? 6 x 4 24 What number times 6 gives you 24? 4 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 68. 5 x 4= ? 6 x 4 24 What number times 6 gives you 24? 4 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 69. 5 x 4= 6 x 4 24 What number times 6 gives you 24? 4 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 70. 5 x 4 = 20 6 x 4 24 What number times 6 gives you 24? 4 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 72. 10 = ? 25 5
  • 73. 10 = ? 25 5 What number do you divide 25 by that gives you 5?
  • 74. 10 = ? 25 5 What number do you divide 25 by that gives you 5? 5
  • 75. 10 = ? 25 ÷ 5 5 What number do you divide 25 by that gives you 5? 5
  • 76. 10 = ? 25 ÷ 5 5 What number do you divide 25 by that gives you 5? 5 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 77. 10 ÷ 5 = ? 25 ÷ 5 5 What number do you divide 25 by that gives you 5? 5 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 78. 10 ÷ 5 = 25 ÷ 5 5 What number do you divide 25 by that gives you 5? 5 Rule: What you do to the numerator, you do the SAME to the denominator.
  • 79. 10 ÷ 5 = 2 25 ÷ 5 5 What number do you divide 25 by that gives you 5? 5 Rule: What you do to the numerator, you do the SAME to the denominator.

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