List some equivalent fractions of

14/16

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

Check if we can simplify our fraction

GCF(14, 16) = 2

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

14/2
16/2

7
8

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

                                                                

7 x 2
8 x 2
  =  
  
14
16

Multiply top and bottom by 3

                                                                                                

7 x 3
8 x 3
  =  
  
21
24

Multiply top and bottom by 4

                                                                                                                                

7 x 4
8 x 4
  =  
  
28
32

Multiply top and bottom by 5

                                                                                                                                                                

7 x 5
8 x 5
  =  
  
35
40

Multiply top and bottom by 6

                                                                                                                                                                                                

7 x 6
8 x 6
  =  
  
42
48

Multiply top and bottom by 7

                                                                                                                                                                                                                                

7 x 7
8 x 7
  =  
  
49
56

Multiply top and bottom by 8

                                                                                                                                                                                                                                                                

7 x 8
8 x 8
  =  
  
56
64

Multiply top and bottom by 9

                                                                                                                                                                                                                                                                                                

7 x 9
8 x 9
  =  
  
63
72

Multiply top and bottom by 10

                                                                                                                                                                                                                                                                                                                                

7 x 10
8 x 10
  =  
  
70
80

Multiply top and bottom by 11

                                                                                                                                                                                                                                                                                                                                                                

7 x 11
8 x 11
  =  
  
77
88

Multiply top and bottom by 12

                                                                                                                                                                                                                                                                                                                                                                                                

7 x 12
8 x 12
  =  
  
84
96

Multiply top and bottom by 13

                                                                                                                                                                                                                                                                                                                                                                                                                                

7 x 13
8 x 13
  =  
  
91
104

Multiply top and bottom by 14

                                                                                                                                                                                                                                                                                                                                                                                                                                                                

7 x 14
8 x 14
  =  
  
98
112

Multiply top and bottom by 15

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

7 x 15
8 x 15
  =  
  
105
120

Multiply top and bottom by 16

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

7 x 16
8 x 16
  =  
  
112
128

Multiply top and bottom by 17

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

7 x 17
8 x 17
  =  
  
119
136

Multiply top and bottom by 18

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

7 x 18
8 x 18
  =  
  
126
144

Multiply top and bottom by 19

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

7 x 19
8 x 19
  =  
  
133
152

Multiply top and bottom by 20

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

7 x 20
8 x 20
  =  
  
140
160

Some equivalent fractions for 14/16 are:


{14/16, 21/24, 28/32, 35/40, 42/48, 49/56, 56/64, 63/72, 70/80, 77/88, 84/96, 91/104, 98/112, 105/120, 112/128, 119/136, 126/144, 133/152, 140/160}


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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?
{14/16, 21/24, 28/32, 35/40, 42/48, 49/56, 56/64, 63/72, 70/80, 77/88, 84/96, 91/104, 98/112, 105/120, 112/128, 119/136, 126/144, 133/152, 140/160}
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
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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
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  17. Equivalent Fraction 2/4
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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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Equivalent Fractions Calculator Video

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