List some equivalent fractions of

9/13

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

Check if we can simplify our fraction

GCF (9, 13) = 1

Equivalent Fraction Definition

A fraction of equal value

Multiply top and bottom by 2

                                                                                                        

9 x 2
13 x 2
  =  
  
18
26

Multiply top and bottom by 3

                                                                                                                                                            

9 x 3
13 x 3
  =  
  
27
39

Multiply top and bottom by 4

                                                                                                                                                                                                                

9 x 4
13 x 4
  =  
  
36
52

Multiply top and bottom by 5

                                                                                                                                                                                                                                                                    

9 x 5
13 x 5
  =  
  
45
65

Multiply top and bottom by 6

                                                                                                                                                                                                                                                                                                                        

9 x 6
13 x 6
  =  
  
54
78

Multiply top and bottom by 7

                                                                                                                                                                                                                                                                                                                                                                            

9 x 7
13 x 7
  =  
  
63
91

Multiply top and bottom by 8

                                                                                                                                                                                                                                                                                                                                                                                                                                

9 x 8
13 x 8
  =  
  
72
104

Multiply top and bottom by 9

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    

9 x 9
13 x 9
  =  
  
81
117

Multiply top and bottom by 10

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

9 x 10
13 x 10
  =  
  
90
130

Multiply top and bottom by 11

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            

9 x 11
13 x 11
  =  
  
99
143

Multiply top and bottom by 12

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

9 x 12
13 x 12
  =  
  
108
156

Multiply top and bottom by 13

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    

9 x 13
13 x 13
  =  
  
117
169

Multiply top and bottom by 14

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

9 x 14
13 x 14
  =  
  
126
182

Multiply top and bottom by 15

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            

9 x 15
13 x 15
  =  
  
135
195

Multiply top and bottom by 16

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

9 x 16
13 x 16
  =  
  
144
208

Multiply top and bottom by 17

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    

9 x 17
13 x 17
  =  
  
153
221

Multiply top and bottom by 18

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

9 x 18
13 x 18
  =  
  
162
234

Multiply top and bottom by 19

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            

9 x 19
13 x 19
  =  
  
171
247

Multiply top and bottom by 20

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

9 x 20
13 x 20
  =  
  
180
260

Some equivalent fractions for 9/13 are:


{18/26, 27/39, 36/52, 45/65, 54/78, 63/91, 72/104, 81/117, 90/130, 99/143, 108/156, 117/169, 126/182, 135/195, 144/208, 153/221, 162/234, 171/247, 180/260}


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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?
{18/26, 27/39, 36/52, 45/65, 54/78, 63/91, 72/104, 81/117, 90/130, 99/143, 108/156, 117/169, 126/182, 135/195, 144/208, 153/221, 162/234, 171/247, 180/260}
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
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  5. Equivalent Fraction 1/6
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  7. Equivalent Fraction 1/8
  8. Equivalent Fraction 1/9
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  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
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  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
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  31. Equivalent Fraction 3/5
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  36. Equivalent Fraction 3/10
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  39. Equivalent Fraction 3/13
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  45. Equivalent Fraction 4/7
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  55. Equivalent Fraction 5/6
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  68. Equivalent Fraction 6/9
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  71. Equivalent Fraction 6/12
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  76. Equivalent Fraction 7/8
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  80. Equivalent Fraction 7/12
  81. Equivalent Fraction 7/13
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  102. Equivalent Fraction 10/13
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Equivalent Fractions Calculator Video

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