List some equivalent fractions of

9/15

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

Check if we can simplify our fraction

GCF(9, 15) = 3

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

9/3
15/3

3
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

                                        

3 x 2
5 x 2
  =  
  
6
10

Multiply top and bottom by 3

                                                            

3 x 3
5 x 3
  =  
  
9
15

Multiply top and bottom by 4

                                                                                

3 x 4
5 x 4
  =  
  
12
20

Multiply top and bottom by 5

                                                                                                    

3 x 5
5 x 5
  =  
  
15
25

Multiply top and bottom by 6

                                                                                                                        

3 x 6
5 x 6
  =  
  
18
30

Multiply top and bottom by 7

                                                                                                                                            

3 x 7
5 x 7
  =  
  
21
35

Multiply top and bottom by 8

                                                                                                                                                                

3 x 8
5 x 8
  =  
  
24
40

Multiply top and bottom by 9

                                                                                                                                                                                    

3 x 9
5 x 9
  =  
  
27
45

Multiply top and bottom by 10

                                                                                                                                                                                                        

3 x 10
5 x 10
  =  
  
30
50

Multiply top and bottom by 11

                                                                                                                                                                                                                            

3 x 11
5 x 11
  =  
  
33
55

Multiply top and bottom by 12

                                                                                                                                                                                                                                                

3 x 12
5 x 12
  =  
  
36
60

Multiply top and bottom by 13

                                                                                                                                                                                                                                                                    

3 x 13
5 x 13
  =  
  
39
65

Multiply top and bottom by 14

                                                                                                                                                                                                                                                                                        

3 x 14
5 x 14
  =  
  
42
70

Multiply top and bottom by 15

                                                                                                                                                                                                                                                                                                            

3 x 15
5 x 15
  =  
  
45
75

Multiply top and bottom by 16

                                                                                                                                                                                                                                                                                                                                

3 x 16
5 x 16
  =  
  
48
80

Multiply top and bottom by 17

                                                                                                                                                                                                                                                                                                                                                    

3 x 17
5 x 17
  =  
  
51
85

Multiply top and bottom by 18

                                                                                                                                                                                                                                                                                                                                                                        

3 x 18
5 x 18
  =  
  
54
90

Multiply top and bottom by 19

                                                                                                                                                                                                                                                                                                                                                                                            

3 x 19
5 x 19
  =  
  
57
95

Multiply top and bottom by 20

                                                                                                                                                                                                                                                                                                                                                                                                                

3 x 20
5 x 20
  =  
  
60
100

Some equivalent fractions for 9/15 are:


{6/10, 9/15, 12/20, 15/25, 18/30, 21/35, 24/40, 27/45, 30/50, 33/55, 36/60, 39/65, 42/70, 45/75, 48/80, 51/85, 54/90, 57/95, 60/100}


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Test Your Knowledge?
  1. An equivalent fraction is found by multiplying numerator and denominator by a ______ factor
Common Core State Standards In This Lesson
3.NF.A.3, 3.NF.A.3.A, 3.NF.A.3.B, 4.NF.C.5
What is the Answer?
{6/10, 9/15, 12/20, 15/25, 18/30, 21/35, 24/40, 27/45, 30/50, 33/55, 36/60, 39/65, 42/70, 45/75, 48/80, 51/85, 54/90, 57/95, 60/100}
How does the Equivalent Fractions Calculator work?
Free Equivalent Fractions Calculator - Given a fraction, this will determine equivalent fractions
This calculator has 1 input.
What 3 formulas are used for the Equivalent Fractions Calculator?
Start with fraction n/d
Let i = 2 through 10
Multiply n and d by i to get your new equivalent fraction
What 5 concepts are covered in the Equivalent Fractions Calculator?
denominator
The bottom portion of a fraction. For a/b, b is the denominator
equivalence
the state or property of being equivalent.
equivalent
equal in value, amount, function, meaning
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
numerator
the number above the line in a common fraction
Example calculations for the Equivalent Fractions Calculator
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Equivalent Fractions Calculator Video

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