List some equivalent fractions of

2/12

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

Check if we can simplify our fraction

GCF(2, 12) = 2

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

2/2
12/2

1
6

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

                                                

1 x 2
6 x 2
  =  
  
2
12

Multiply top and bottom by 3

                                                                        

1 x 3
6 x 3
  =  
  
3
18

Multiply top and bottom by 4

                                                                                                

1 x 4
6 x 4
  =  
  
4
24

Multiply top and bottom by 5

                                                                                                                        

1 x 5
6 x 5
  =  
  
5
30

Multiply top and bottom by 6

                                                                                                                                                

1 x 6
6 x 6
  =  
  
6
36

Multiply top and bottom by 7

                                                                                                                                                                        

1 x 7
6 x 7
  =  
  
7
42

Multiply top and bottom by 8

                                                                                                                                                                                                

1 x 8
6 x 8
  =  
  
8
48

Multiply top and bottom by 9

                                                                                                                                                                                                                        

1 x 9
6 x 9
  =  
  
9
54

Multiply top and bottom by 10

                                                                                                                                                                                                                                                

1 x 10
6 x 10
  =  
  
10
60

Multiply top and bottom by 11

                                                                                                                                                                                                                                                                        

1 x 11
6 x 11
  =  
  
11
66

Multiply top and bottom by 12

                                                                                                                                                                                                                                                                                                

1 x 12
6 x 12
  =  
  
12
72

Multiply top and bottom by 13

                                                                                                                                                                                                                                                                                                                        

1 x 13
6 x 13
  =  
  
13
78

Multiply top and bottom by 14

                                                                                                                                                                                                                                                                                                                                                

1 x 14
6 x 14
  =  
  
14
84

Multiply top and bottom by 15

                                                                                                                                                                                                                                                                                                                                                                        

1 x 15
6 x 15
  =  
  
15
90

Multiply top and bottom by 16

                                                                                                                                                                                                                                                                                                                                                                                                

1 x 16
6 x 16
  =  
  
16
96

Multiply top and bottom by 17

                                                                                                                                                                                                                                                                                                                                                                                                                        

1 x 17
6 x 17
  =  
  
17
102

Multiply top and bottom by 18

                                                                                                                                                                                                                                                                                                                                                                                                                                                

1 x 18
6 x 18
  =  
  
18
108

Multiply top and bottom by 19

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

1 x 19
6 x 19
  =  
  
19
114

Multiply top and bottom by 20

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

1 x 20
6 x 20
  =  
  
20
120

Some equivalent fractions for 2/12 are:


{2/12, 3/18, 4/24, 5/30, 6/36, 7/42, 8/48, 9/54, 10/60, 11/66, 12/72, 13/78, 14/84, 15/90, 16/96, 17/102, 18/108, 19/114, 20/120}