List some equivalent fractions of

12/16

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

Check if we can simplify our fraction

GCF(12, 16) = 4

Since we have a GCF ≠ 1, we divide numerator and denominator by the GCF = 4

12/4
16/4

3
4

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

                                

3 x 2
4 x 2
  =  
  
6
8

Multiply top and bottom by 3

                                                

3 x 3
4 x 3
  =  
  
9
12

Multiply top and bottom by 4

                                                                

3 x 4
4 x 4
  =  
  
12
16

Multiply top and bottom by 5

                                                                                

3 x 5
4 x 5
  =  
  
15
20

Multiply top and bottom by 6

                                                                                                

3 x 6
4 x 6
  =  
  
18
24

Multiply top and bottom by 7

                                                                                                                

3 x 7
4 x 7
  =  
  
21
28

Multiply top and bottom by 8

                                                                                                                                

3 x 8
4 x 8
  =  
  
24
32

Multiply top and bottom by 9

                                                                                                                                                

3 x 9
4 x 9
  =  
  
27
36

Multiply top and bottom by 10

                                                                                                                                                                

3 x 10
4 x 10
  =  
  
30
40

Multiply top and bottom by 11

                                                                                                                                                                                

3 x 11
4 x 11
  =  
  
33
44

Multiply top and bottom by 12

                                                                                                                                                                                                

3 x 12
4 x 12
  =  
  
36
48

Multiply top and bottom by 13

                                                                                                                                                                                                                

3 x 13
4 x 13
  =  
  
39
52

Multiply top and bottom by 14

                                                                                                                                                                                                                                

3 x 14
4 x 14
  =  
  
42
56

Multiply top and bottom by 15

                                                                                                                                                                                                                                                

3 x 15
4 x 15
  =  
  
45
60

Multiply top and bottom by 16

                                                                                                                                                                                                                                                                

3 x 16
4 x 16
  =  
  
48
64

Multiply top and bottom by 17

                                                                                                                                                                                                                                                                                

3 x 17
4 x 17
  =  
  
51
68

Multiply top and bottom by 18

                                                                                                                                                                                                                                                                                                

3 x 18
4 x 18
  =  
  
54
72

Multiply top and bottom by 19

                                                                                                                                                                                                                                                                                                                

3 x 19
4 x 19
  =  
  
57
76

Multiply top and bottom by 20

                                                                                                                                                                                                                                                                                                                                

3 x 20
4 x 20
  =  
  
60
80

Some equivalent fractions for 12/16 are:


{6/8, 9/12, 12/16, 15/20, 18/24, 21/28, 24/32, 27/36, 30/40, 33/44, 36/48, 39/52, 42/56, 45/60, 48/64, 51/68, 54/72, 57/76, 60/80}


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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?
{6/8, 9/12, 12/16, 15/20, 18/24, 21/28, 24/32, 27/36, 30/40, 33/44, 36/48, 39/52, 42/56, 45/60, 48/64, 51/68, 54/72, 57/76, 60/80}
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
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Equivalent Fractions Calculator Video

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