List some equivalent fractions of

3/6

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

Check if we can simplify our fraction

GCF(3, 6) = 3

Since we have a GCF ≠ 1, we divide numerator and denominator by the GCF = 3

3/3
6/3

1
2

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
2 x 2
  =  
  
2
4

Multiply top and bottom by 3

                        

1 x 3
2 x 3
  =  
  
3
6

Multiply top and bottom by 4

                                

1 x 4
2 x 4
  =  
  
4
8

Multiply top and bottom by 5

                                        

1 x 5
2 x 5
  =  
  
5
10

Multiply top and bottom by 6

                                                

1 x 6
2 x 6
  =  
  
6
12

Multiply top and bottom by 7

                                                        

1 x 7
2 x 7
  =  
  
7
14

Multiply top and bottom by 8

                                                                

1 x 8
2 x 8
  =  
  
8
16

Multiply top and bottom by 9

                                                                        

1 x 9
2 x 9
  =  
  
9
18

Multiply top and bottom by 10

                                                                                

1 x 10
2 x 10
  =  
  
10
20

Multiply top and bottom by 11

                                                                                        

1 x 11
2 x 11
  =  
  
11
22

Multiply top and bottom by 12

                                                                                                

1 x 12
2 x 12
  =  
  
12
24

Multiply top and bottom by 13

                                                                                                        

1 x 13
2 x 13
  =  
  
13
26

Multiply top and bottom by 14

                                                                                                                

1 x 14
2 x 14
  =  
  
14
28

Multiply top and bottom by 15

                                                                                                                        

1 x 15
2 x 15
  =  
  
15
30

Multiply top and bottom by 16

                                                                                                                                

1 x 16
2 x 16
  =  
  
16
32

Multiply top and bottom by 17

                                                                                                                                        

1 x 17
2 x 17
  =  
  
17
34

Multiply top and bottom by 18

                                                                                                                                                

1 x 18
2 x 18
  =  
  
18
36

Multiply top and bottom by 19

                                                                                                                                                        

1 x 19
2 x 19
  =  
  
19
38

Multiply top and bottom by 20

                                                                                                                                                                

1 x 20
2 x 20
  =  
  
20
40

Some equivalent fractions for 3/6 are:


{2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20, 11/22, 12/24, 13/26, 14/28, 15/30, 16/32, 17/34, 18/36, 19/38, 20/40}