List some equivalent fractions of

3/9

Equivalent Fractions are found by multiplying
numerator and denominator by a common factor

Check if we can simplify our fraction

GCF(3, 9) = 3

Since we have a GCF ≠ 1, we divide numerator and denominator by the GCF = 3

3/3
9/3

1
3

This is our first equivalent fraction, simplified. We use this fraction to build more equivalent fractions

Equivalent Fraction Definition

A fraction of equal value

Multiply top and bottom by 2

                        

1 x 2
3 x 2
  =  
  
2
6

Multiply top and bottom by 3

                                    

1 x 3
3 x 3
  =  
  
3
9

Multiply top and bottom by 4

                                                

1 x 4
3 x 4
  =  
  
4
12

Multiply top and bottom by 5

                                                            

1 x 5
3 x 5
  =  
  
5
15

Multiply top and bottom by 6

                                                                        

1 x 6
3 x 6
  =  
  
6
18

Multiply top and bottom by 7

                                                                                    

1 x 7
3 x 7
  =  
  
7
21

Multiply top and bottom by 8

                                                                                                

1 x 8
3 x 8
  =  
  
8
24

Multiply top and bottom by 9

                                                                                                            

1 x 9
3 x 9
  =  
  
9
27

Multiply top and bottom by 10

                                                                                                                        

1 x 10
3 x 10
  =  
  
10
30

Multiply top and bottom by 11

                                                                                                                                    

1 x 11
3 x 11
  =  
  
11
33

Multiply top and bottom by 12

                                                                                                                                                

1 x 12
3 x 12
  =  
  
12
36

Multiply top and bottom by 13

                                                                                                                                                            

1 x 13
3 x 13
  =  
  
13
39

Multiply top and bottom by 14

                                                                                                                                                                        

1 x 14
3 x 14
  =  
  
14
42

Multiply top and bottom by 15

                                                                                                                                                                                    

1 x 15
3 x 15
  =  
  
15
45

Multiply top and bottom by 16

                                                                                                                                                                                                

1 x 16
3 x 16
  =  
  
16
48

Multiply top and bottom by 17

                                                                                                                                                                                                            

1 x 17
3 x 17
  =  
  
17
51

Multiply top and bottom by 18

                                                                                                                                                                                                                        

1 x 18
3 x 18
  =  
  
18
54

Multiply top and bottom by 19

                                                                                                                                                                                                                                    

1 x 19
3 x 19
  =  
  
19
57

Multiply top and bottom by 20

                                                                                                                                                                                                                                                

1 x 20
3 x 20
  =  
  
20
60

Some equivalent fractions for 3/9 are:


{2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30, 11/33, 12/36, 13/39, 14/42, 15/45, 16/48, 17/51, 18/54, 19/57, 20/60}


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Test Your Knowledge?
  1. An equivalent fraction is found by multiplying numerator and denominator by a ______ factor
Common Core State Standards In This Lesson
3.NF.A.3, 3.NF.A.3.A, 3.NF.A.3.B, 4.NF.C.5
What is the Answer?
{2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30, 11/33, 12/36, 13/39, 14/42, 15/45, 16/48, 17/51, 18/54, 19/57, 20/60}
How does the Equivalent Fractions Calculator work?
Free Equivalent Fractions Calculator - Given a fraction, this will determine equivalent fractions
This calculator has 1 input.
What 3 formulas are used for the Equivalent Fractions Calculator?
Start with fraction n/d
Let i = 2 through 10
Multiply n and d by i to get your new equivalent fraction
What 5 concepts are covered in the Equivalent Fractions Calculator?
denominator
The bottom portion of a fraction. For a/b, b is the denominator
equivalence
the state or property of being equivalent.
equivalent
equal in value, amount, function, meaning
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
numerator
the number above the line in a common fraction
Example calculations for the Equivalent Fractions Calculator
  1. Equivalent Fraction 1/2
  2. Equivalent Fraction 1/3
  3. Equivalent Fraction 1/4
  4. Equivalent Fraction 1/5
  5. Equivalent Fraction 1/6
  6. Equivalent Fraction 1/7
  7. Equivalent Fraction 1/8
  8. Equivalent Fraction 1/9
  9. Equivalent Fraction 1/10
  10. Equivalent Fraction 1/11
  11. Equivalent Fraction 1/12
  12. Equivalent Fraction 1/13
  13. Equivalent Fraction 1/14
  14. Equivalent Fraction 1/15
  15. Equivalent Fraction 1/16
  16. Equivalent Fraction 2/3
  17. Equivalent Fraction 2/4
  18. Equivalent Fraction 2/5
  19. Equivalent Fraction 2/6
  20. Equivalent Fraction 2/7
  21. Equivalent Fraction 2/8
  22. Equivalent Fraction 2/9
  23. Equivalent Fraction 2/10
  24. Equivalent Fraction 2/11
  25. Equivalent Fraction 2/12
  26. Equivalent Fraction 2/13
  27. Equivalent Fraction 2/14
  28. Equivalent Fraction 2/15
  29. Equivalent Fraction 2/16
  30. Equivalent Fraction 3/4
  31. Equivalent Fraction 3/5
  32. Equivalent Fraction 3/6
  33. Equivalent Fraction 3/7
  34. Equivalent Fraction 3/8
  35. Equivalent Fraction 3/9
  36. Equivalent Fraction 3/10
  37. Equivalent Fraction 3/11
  38. Equivalent Fraction 3/12
  39. Equivalent Fraction 3/13
  40. Equivalent Fraction 3/14
  41. Equivalent Fraction 3/15
  42. Equivalent Fraction 3/16
  43. Equivalent Fraction 4/5
  44. Equivalent Fraction 4/6
  45. Equivalent Fraction 4/7
  46. Equivalent Fraction 4/8
  47. Equivalent Fraction 4/9
  48. Equivalent Fraction 4/10
  49. Equivalent Fraction 4/11
  50. Equivalent Fraction 4/12
  51. Equivalent Fraction 4/13
  52. Equivalent Fraction 4/14
  53. Equivalent Fraction 4/15
  54. Equivalent Fraction 4/16
  55. Equivalent Fraction 5/6
  56. Equivalent Fraction 5/7
  57. Equivalent Fraction 5/8
  58. Equivalent Fraction 5/9
  59. Equivalent Fraction 5/10
  60. Equivalent Fraction 5/11
  61. Equivalent Fraction 5/12
  62. Equivalent Fraction 5/13
  63. Equivalent Fraction 5/14
  64. Equivalent Fraction 5/15
  65. Equivalent Fraction 5/16
  66. Equivalent Fraction 6/7
  67. Equivalent Fraction 6/8
  68. Equivalent Fraction 6/9
  69. Equivalent Fraction 6/10
  70. Equivalent Fraction 6/11
  71. Equivalent Fraction 6/12
  72. Equivalent Fraction 6/13
  73. Equivalent Fraction 6/14
  74. Equivalent Fraction 6/15
  75. Equivalent Fraction 6/16
  76. Equivalent Fraction 7/8
  77. Equivalent Fraction 7/9
  78. Equivalent Fraction 7/10
  79. Equivalent Fraction 7/11
  80. Equivalent Fraction 7/12
  81. Equivalent Fraction 7/13
  82. Equivalent Fraction 7/14
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  84. Equivalent Fraction 7/16
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  92. Equivalent Fraction 8/16
  93. Equivalent Fraction 9/10
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  95. Equivalent Fraction 9/12
  96. Equivalent Fraction 9/13
  97. Equivalent Fraction 9/14
  98. Equivalent Fraction 9/15
  99. Equivalent Fraction 9/16
  100. Equivalent Fraction 10/11
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  102. Equivalent Fraction 10/13
  103. Equivalent Fraction 10/14
  104. Equivalent Fraction 10/15
  105. Equivalent Fraction 10/16
  106. Equivalent Fraction 11/12
  107. Equivalent Fraction 11/13
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  110. Equivalent Fraction 11/16
  111. Equivalent Fraction 12/13
  112. Equivalent Fraction 12/14
  113. Equivalent Fraction 12/15
  114. Equivalent Fraction 12/16
  115. Equivalent Fraction 13/14
  116. Equivalent Fraction 13/15
  117. Equivalent Fraction 13/16
  118. Equivalent Fraction 14/15
  119. Equivalent Fraction 14/16
  120. Equivalent Fraction 15/16
Equivalent Fractions Calculator Video

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