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Equivalent Fractions for 10/14

Enter a fraction below to find equivalent fractions for:


  
List some equivalent fractions of 10/14

Check to see if we can simplify our fraction with a greatest common factor:

Using our GCF calculator, we see the GCF(10, 14) = 2

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

10/2
14/2

5
7

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

Definition of an Equivalent Fraction:

An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer (n).
Whatever you multiply the numerator (top) by, you must multiply the denominator (bottom) by the same number):

How to Find an Equivalent Fraction:

We'll start with 2 and keep increasing by 1 through 20 to find a bunch of equivalent fractions:

Multiply numerator and denominator by 2 to get an equivalent fraction:

5 x 2
7 x 2
  =  
  
10
14

Multiply numerator and denominator by 3 to get an equivalent fraction:

5 x 3
7 x 3
  =  
  
15
21

Multiply numerator and denominator by 4 to get an equivalent fraction:

5 x 4
7 x 4
  =  
  
20
28

Multiply numerator and denominator by 5 to get an equivalent fraction:

5 x 5
7 x 5
  =  
  
25
35

Multiply numerator and denominator by 6 to get an equivalent fraction:

5 x 6
7 x 6
  =  
  
30
42

Multiply numerator and denominator by 7 to get an equivalent fraction:

5 x 7
7 x 7
  =  
  
35
49

Multiply numerator and denominator by 8 to get an equivalent fraction:

5 x 8
7 x 8
  =  
  
40
56

Multiply numerator and denominator by 9 to get an equivalent fraction:

5 x 9
7 x 9
  =  
  
45
63

Multiply numerator and denominator by 10 to get an equivalent fraction:

5 x 10
7 x 10
  =  
  
50
70

Multiply numerator and denominator by 11 to get an equivalent fraction:

5 x 11
7 x 11
  =  
  
55
77

Multiply numerator and denominator by 12 to get an equivalent fraction:

5 x 12
7 x 12
  =  
  
60
84

Multiply numerator and denominator by 13 to get an equivalent fraction:

5 x 13
7 x 13
  =  
  
65
91

Multiply numerator and denominator by 14 to get an equivalent fraction:

5 x 14
7 x 14
  =  
  
70
98

Multiply numerator and denominator by 15 to get an equivalent fraction:

5 x 15
7 x 15
  =  
  
75
105

Multiply numerator and denominator by 16 to get an equivalent fraction:

5 x 16
7 x 16
  =  
  
80
112

Multiply numerator and denominator by 17 to get an equivalent fraction:

5 x 17
7 x 17
  =  
  
85
119

Multiply numerator and denominator by 18 to get an equivalent fraction:

5 x 18
7 x 18
  =  
  
90
126

Multiply numerator and denominator by 19 to get an equivalent fraction:

5 x 19
7 x 19
  =  
  
95
133

Multiply numerator and denominator by 20 to get an equivalent fraction:

5 x 20
7 x 20
  =  
  
100
140

Some equivalent fractions for 10/14 are:

{10/14, 15/21, 20/28, 25/35, 30/42, 35/49, 40/56, 45/63, 50/70, 55/77, 60/84, 65/91, 70/98, 75/105, 80/112, 85/119, 90/126, 95/133, 100/140}





What is the Answer?

{10/14, 15/21, 20/28, 25/35, 30/42, 35/49, 40/56, 45/63, 50/70, 55/77, 60/84, 65/91, 70/98, 75/105, 80/112, 85/119, 90/126, 95/133, 100/140}

How does the Equivalent Fractions Calculator work?

Given a fraction, this will determine equivalent fractions
This calculator has 1 input.

What 3 formulas are used for the Equivalent Fractions Calculator?

  1. Start with fraction n/d
  2. Let i = 2 through 10
  3. Multiply n and d by i to get your new equivalent fraction

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Equivalent Fractions Calculator?

equivalence
the state or property of being equivalent.
equivalent fractions
Two fractions with equal values, using a common factor to scale the numerator and denominator
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator

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
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  40. Equivalent Fraction 3/14
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  52. Equivalent Fraction 4/14
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  54. Equivalent Fraction 4/16
  55. Equivalent Fraction 5/6
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  60. Equivalent Fraction 5/11
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  63. Equivalent Fraction 5/14
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  66. Equivalent Fraction 6/7
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  76. Equivalent Fraction 7/8
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  85. Equivalent Fraction 8/9
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  100. Equivalent Fraction 10/11
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  102. Equivalent Fraction 10/13
  103. Equivalent Fraction 10/14
  104. Equivalent Fraction 10/15
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  106. Equivalent Fraction 11/12
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  108. Equivalent Fraction 11/14
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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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