List some equivalent fractions of

12/14

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

Check if we can simplify our fraction

GCF(12, 14) = 2

Since we have a GCF ≠ 1, we divide numerator and denominator by the GCF = 2

12/2
14/2

6
7

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

                                                        

6 x 2
7 x 2
  =  
  
12
14

Multiply top and bottom by 3

                                                                                    

6 x 3
7 x 3
  =  
  
18
21

Multiply top and bottom by 4

                                                                                                                

6 x 4
7 x 4
  =  
  
24
28

Multiply top and bottom by 5

                                                                                                                                            

6 x 5
7 x 5
  =  
  
30
35

Multiply top and bottom by 6

                                                                                                                                                                        

6 x 6
7 x 6
  =  
  
36
42

Multiply top and bottom by 7

                                                                                                                                                                                                    

6 x 7
7 x 7
  =  
  
42
49

Multiply top and bottom by 8

                                                                                                                                                                                                                                

6 x 8
7 x 8
  =  
  
48
56

Multiply top and bottom by 9

                                                                                                                                                                                                                                                            

6 x 9
7 x 9
  =  
  
54
63

Multiply top and bottom by 10

                                                                                                                                                                                                                                                                                        

6 x 10
7 x 10
  =  
  
60
70

Multiply top and bottom by 11

                                                                                                                                                                                                                                                                                                                    

6 x 11
7 x 11
  =  
  
66
77

Multiply top and bottom by 12

                                                                                                                                                                                                                                                                                                                                                

6 x 12
7 x 12
  =  
  
72
84

Multiply top and bottom by 13

                                                                                                                                                                                                                                                                                                                                                                            

6 x 13
7 x 13
  =  
  
78
91

Multiply top and bottom by 14

                                                                                                                                                                                                                                                                                                                                                                                                        

6 x 14
7 x 14
  =  
  
84
98

Multiply top and bottom by 15

                                                                                                                                                                                                                                                                                                                                                                                                                                    

6 x 15
7 x 15
  =  
  
90
105

Multiply top and bottom by 16

                                                                                                                                                                                                                                                                                                                                                                                                                                                                

6 x 16
7 x 16
  =  
  
96
112

Multiply top and bottom by 17

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            

6 x 17
7 x 17
  =  
  
102
119

Multiply top and bottom by 18

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

6 x 18
7 x 18
  =  
  
108
126

Multiply top and bottom by 19

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    

6 x 19
7 x 19
  =  
  
114
133

Multiply top and bottom by 20

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

6 x 20
7 x 20
  =  
  
120
140

Some equivalent fractions for 12/14 are:


{12/14, 18/21, 24/28, 30/35, 36/42, 42/49, 48/56, 54/63, 60/70, 66/77, 72/84, 78/91, 84/98, 90/105, 96/112, 102/119, 108/126, 114/133, 120/140}


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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?
{12/14, 18/21, 24/28, 30/35, 36/42, 42/49, 48/56, 54/63, 60/70, 66/77, 72/84, 78/91, 84/98, 90/105, 96/112, 102/119, 108/126, 114/133, 120/140}
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
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  20. Equivalent Fraction 2/7
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  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
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  36. Equivalent Fraction 3/10
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  39. Equivalent Fraction 3/13
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  55. Equivalent Fraction 5/6
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Equivalent Fractions Calculator Video

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