List some equivalent fractions of

4/10

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

Check if we can simplify our fraction

GCF(4, 10) = 2

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

4/2
10/2

2
5

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

                                        

2 x 2
5 x 2
  =  
  
4
10

Multiply top and bottom by 3

                                                            

2 x 3
5 x 3
  =  
  
6
15

Multiply top and bottom by 4

                                                                                

2 x 4
5 x 4
  =  
  
8
20

Multiply top and bottom by 5

                                                                                                    

2 x 5
5 x 5
  =  
  
10
25

Multiply top and bottom by 6

                                                                                                                        

2 x 6
5 x 6
  =  
  
12
30

Multiply top and bottom by 7

                                                                                                                                            

2 x 7
5 x 7
  =  
  
14
35

Multiply top and bottom by 8

                                                                                                                                                                

2 x 8
5 x 8
  =  
  
16
40

Multiply top and bottom by 9

                                                                                                                                                                                    

2 x 9
5 x 9
  =  
  
18
45

Multiply top and bottom by 10

                                                                                                                                                                                                        

2 x 10
5 x 10
  =  
  
20
50

Multiply top and bottom by 11

                                                                                                                                                                                                                            

2 x 11
5 x 11
  =  
  
22
55

Multiply top and bottom by 12

                                                                                                                                                                                                                                                

2 x 12
5 x 12
  =  
  
24
60

Multiply top and bottom by 13

                                                                                                                                                                                                                                                                    

2 x 13
5 x 13
  =  
  
26
65

Multiply top and bottom by 14

                                                                                                                                                                                                                                                                                        

2 x 14
5 x 14
  =  
  
28
70

Multiply top and bottom by 15

                                                                                                                                                                                                                                                                                                            

2 x 15
5 x 15
  =  
  
30
75

Multiply top and bottom by 16

                                                                                                                                                                                                                                                                                                                                

2 x 16
5 x 16
  =  
  
32
80

Multiply top and bottom by 17

                                                                                                                                                                                                                                                                                                                                                    

2 x 17
5 x 17
  =  
  
34
85

Multiply top and bottom by 18

                                                                                                                                                                                                                                                                                                                                                                        

2 x 18
5 x 18
  =  
  
36
90

Multiply top and bottom by 19

                                                                                                                                                                                                                                                                                                                                                                                            

2 x 19
5 x 19
  =  
  
38
95

Multiply top and bottom by 20

                                                                                                                                                                                                                                                                                                                                                                                                                

2 x 20
5 x 20
  =  
  
40
100

Some equivalent fractions for 4/10 are:


{4/10, 6/15, 8/20, 10/25, 12/30, 14/35, 16/40, 18/45, 20/50, 22/55, 24/60, 26/65, 28/70, 30/75, 32/80, 34/85, 36/90, 38/95, 40/100}