List some equivalent fractions of

4/14

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

Check if we can simplify our fraction

GCF(4, 14) = 2

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

4/2
14/2

2
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

                                                        

2 x 2
7 x 2
  =  
  
4
14

Multiply top and bottom by 3

                                                                                    

2 x 3
7 x 3
  =  
  
6
21

Multiply top and bottom by 4

                                                                                                                

2 x 4
7 x 4
  =  
  
8
28

Multiply top and bottom by 5

                                                                                                                                            

2 x 5
7 x 5
  =  
  
10
35

Multiply top and bottom by 6

                                                                                                                                                                        

2 x 6
7 x 6
  =  
  
12
42

Multiply top and bottom by 7

                                                                                                                                                                                                    

2 x 7
7 x 7
  =  
  
14
49

Multiply top and bottom by 8

                                                                                                                                                                                                                                

2 x 8
7 x 8
  =  
  
16
56

Multiply top and bottom by 9

                                                                                                                                                                                                                                                            

2 x 9
7 x 9
  =  
  
18
63

Multiply top and bottom by 10

                                                                                                                                                                                                                                                                                        

2 x 10
7 x 10
  =  
  
20
70

Multiply top and bottom by 11

                                                                                                                                                                                                                                                                                                                    

2 x 11
7 x 11
  =  
  
22
77

Multiply top and bottom by 12

                                                                                                                                                                                                                                                                                                                                                

2 x 12
7 x 12
  =  
  
24
84

Multiply top and bottom by 13

                                                                                                                                                                                                                                                                                                                                                                            

2 x 13
7 x 13
  =  
  
26
91

Multiply top and bottom by 14

                                                                                                                                                                                                                                                                                                                                                                                                        

2 x 14
7 x 14
  =  
  
28
98

Multiply top and bottom by 15

                                                                                                                                                                                                                                                                                                                                                                                                                                    

2 x 15
7 x 15
  =  
  
30
105

Multiply top and bottom by 16

                                                                                                                                                                                                                                                                                                                                                                                                                                                                

2 x 16
7 x 16
  =  
  
32
112

Multiply top and bottom by 17

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            

2 x 17
7 x 17
  =  
  
34
119

Multiply top and bottom by 18

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

2 x 18
7 x 18
  =  
  
36
126

Multiply top and bottom by 19

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    

2 x 19
7 x 19
  =  
  
38
133

Multiply top and bottom by 20

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

2 x 20
7 x 20
  =  
  
40
140

Some equivalent fractions for 4/14 are:


{4/14, 6/21, 8/28, 10/35, 12/42, 14/49, 16/56, 18/63, 20/70, 22/77, 24/84, 26/91, 28/98, 30/105, 32/112, 34/119, 36/126, 38/133, 40/140}


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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?
{4/14, 6/21, 8/28, 10/35, 12/42, 14/49, 16/56, 18/63, 20/70, 22/77, 24/84, 26/91, 28/98, 30/105, 32/112, 34/119, 36/126, 38/133, 40/140}
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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  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
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  36. Equivalent Fraction 3/10
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  55. Equivalent Fraction 5/6
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Equivalent Fractions Calculator Video

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