List some equivalent fractions of

3/9

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

Check if we can simplify our fraction

GCF(3, 9) = 3

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

3/3
9/3

1
3

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
3 x 2
  =  
  
2
6

Multiply top and bottom by 3

                                    

1 x 3
3 x 3
  =  
  
3
9

Multiply top and bottom by 4

                                                

1 x 4
3 x 4
  =  
  
4
12

Multiply top and bottom by 5

                                                            

1 x 5
3 x 5
  =  
  
5
15

Multiply top and bottom by 6

                                                                        

1 x 6
3 x 6
  =  
  
6
18

Multiply top and bottom by 7

                                                                                    

1 x 7
3 x 7
  =  
  
7
21

Multiply top and bottom by 8

                                                                                                

1 x 8
3 x 8
  =  
  
8
24

Multiply top and bottom by 9

                                                                                                            

1 x 9
3 x 9
  =  
  
9
27

Multiply top and bottom by 10

                                                                                                                        

1 x 10
3 x 10
  =  
  
10
30

Multiply top and bottom by 11

                                                                                                                                    

1 x 11
3 x 11
  =  
  
11
33

Multiply top and bottom by 12

                                                                                                                                                

1 x 12
3 x 12
  =  
  
12
36

Multiply top and bottom by 13

                                                                                                                                                            

1 x 13
3 x 13
  =  
  
13
39

Multiply top and bottom by 14

                                                                                                                                                                        

1 x 14
3 x 14
  =  
  
14
42

Multiply top and bottom by 15

                                                                                                                                                                                    

1 x 15
3 x 15
  =  
  
15
45

Multiply top and bottom by 16

                                                                                                                                                                                                

1 x 16
3 x 16
  =  
  
16
48

Multiply top and bottom by 17

                                                                                                                                                                                                            

1 x 17
3 x 17
  =  
  
17
51

Multiply top and bottom by 18

                                                                                                                                                                                                                        

1 x 18
3 x 18
  =  
  
18
54

Multiply top and bottom by 19

                                                                                                                                                                                                                                    

1 x 19
3 x 19
  =  
  
19
57

Multiply top and bottom by 20

                                                                                                                                                                                                                                                

1 x 20
3 x 20
  =  
  
20
60

Some equivalent fractions for 3/9 are:


{2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30, 11/33, 12/36, 13/39, 14/42, 15/45, 16/48, 17/51, 18/54, 19/57, 20/60}