List some equivalent fractions of

10/16

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

Check if we can simplify our fraction

GCF(10, 16) = 2

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

10/2
16/2

5
8

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

                                                                

5 x 2
8 x 2
  =  
  
10
16

Multiply top and bottom by 3

                                                                                                

5 x 3
8 x 3
  =  
  
15
24

Multiply top and bottom by 4

                                                                                                                                

5 x 4
8 x 4
  =  
  
20
32

Multiply top and bottom by 5

                                                                                                                                                                

5 x 5
8 x 5
  =  
  
25
40

Multiply top and bottom by 6

                                                                                                                                                                                                

5 x 6
8 x 6
  =  
  
30
48

Multiply top and bottom by 7

                                                                                                                                                                                                                                

5 x 7
8 x 7
  =  
  
35
56

Multiply top and bottom by 8

                                                                                                                                                                                                                                                                

5 x 8
8 x 8
  =  
  
40
64

Multiply top and bottom by 9

                                                                                                                                                                                                                                                                                                

5 x 9
8 x 9
  =  
  
45
72

Multiply top and bottom by 10

                                                                                                                                                                                                                                                                                                                                

5 x 10
8 x 10
  =  
  
50
80

Multiply top and bottom by 11

                                                                                                                                                                                                                                                                                                                                                                

5 x 11
8 x 11
  =  
  
55
88

Multiply top and bottom by 12

                                                                                                                                                                                                                                                                                                                                                                                                

5 x 12
8 x 12
  =  
  
60
96

Multiply top and bottom by 13

                                                                                                                                                                                                                                                                                                                                                                                                                                

5 x 13
8 x 13
  =  
  
65
104

Multiply top and bottom by 14

                                                                                                                                                                                                                                                                                                                                                                                                                                                                

5 x 14
8 x 14
  =  
  
70
112

Multiply top and bottom by 15

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

5 x 15
8 x 15
  =  
  
75
120

Multiply top and bottom by 16

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

5 x 16
8 x 16
  =  
  
80
128

Multiply top and bottom by 17

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

5 x 17
8 x 17
  =  
  
85
136

Multiply top and bottom by 18

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

5 x 18
8 x 18
  =  
  
90
144

Multiply top and bottom by 19

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

5 x 19
8 x 19
  =  
  
95
152

Multiply top and bottom by 20

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

5 x 20
8 x 20
  =  
  
100
160

Some equivalent fractions for 10/16 are:


{10/16, 15/24, 20/32, 25/40, 30/48, 35/56, 40/64, 45/72, 50/80, 55/88, 60/96, 65/104, 70/112, 75/120, 80/128, 85/136, 90/144, 95/152, 100/160}