 # Equivalent Fractions for 3/12

## Enter a fraction below to find equivalent fractions for:

List some equivalent fractions of 3/12

## Check to see if we can simplify our fraction with a greatest common factor:

Using our GCF calculator, we see the GCF(3, 12) = 3

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

 3/3 12/3

 1 4

This is our first equivalent fraction, simplified. We use this fraction to build more equivalent fractions

## Definition of an Equivalent Fraction:

An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer (n).
Whatever you multiply the numerator (top) by, you must multiply the denominator (bottom) by the same number):

## How to Find an Equivalent Fraction:

We'll start with 2 and keep increasing by 1 through 20 to find a bunch of equivalent fractions:

## Multiply numerator and denominator by 2 to get an equivalent fraction:

 1 x 2 4 x 2
 =
 2 8

## Multiply numerator and denominator by 3 to get an equivalent fraction:

 1 x 3 4 x 3
 =
 3 12

## Multiply numerator and denominator by 4 to get an equivalent fraction:

 1 x 4 4 x 4
 =
 4 16

## Multiply numerator and denominator by 5 to get an equivalent fraction:

 1 x 5 4 x 5
 =
 5 20

## Multiply numerator and denominator by 6 to get an equivalent fraction:

 1 x 6 4 x 6
 =
 6 24

## Multiply numerator and denominator by 7 to get an equivalent fraction:

 1 x 7 4 x 7
 =
 7 28

## Multiply numerator and denominator by 8 to get an equivalent fraction:

 1 x 8 4 x 8
 =
 8 32

## Multiply numerator and denominator by 9 to get an equivalent fraction:

 1 x 9 4 x 9
 =
 9 36

## Multiply numerator and denominator by 10 to get an equivalent fraction:

 1 x 10 4 x 10
 =
 10 40

## Multiply numerator and denominator by 11 to get an equivalent fraction:

 1 x 11 4 x 11
 =
 11 44

## Multiply numerator and denominator by 12 to get an equivalent fraction:

 1 x 12 4 x 12
 =
 12 48

## Multiply numerator and denominator by 13 to get an equivalent fraction:

 1 x 13 4 x 13
 =
 13 52

## Multiply numerator and denominator by 14 to get an equivalent fraction:

 1 x 14 4 x 14
 =
 14 56

## Multiply numerator and denominator by 15 to get an equivalent fraction:

 1 x 15 4 x 15
 =
 15 60

## Multiply numerator and denominator by 16 to get an equivalent fraction:

 1 x 16 4 x 16
 =
 16 64

## Multiply numerator and denominator by 17 to get an equivalent fraction:

 1 x 17 4 x 17
 =
 17 68

## Multiply numerator and denominator by 18 to get an equivalent fraction:

 1 x 18 4 x 18
 =
 18 72

## Multiply numerator and denominator by 19 to get an equivalent fraction:

 1 x 19 4 x 19
 =
 19 76

## Multiply numerator and denominator by 20 to get an equivalent fraction:

 1 x 20 4 x 20
 =
 20 80

## Some equivalent fractions for 3/12 are:

{2/8, 3/12, 4/16, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40, 11/44, 12/48, 13/52, 14/56, 15/60, 16/64, 17/68, 18/72, 19/76, 20/80}

{2/8, 3/12, 4/16, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40, 11/44, 12/48, 13/52, 14/56, 15/60, 16/64, 17/68, 18/72, 19/76, 20/80}

### How does the Equivalent Fractions Calculator work?

Given a fraction, this will determine equivalent fractions
This calculator has 1 input.

### What 3 formulas are used for the Equivalent Fractions Calculator?

2. Let i = 2 through 10
3. Multiply n and d by i to get your new equivalent fraction

For more math formulas, check out our Formula Dossier

### What 3 concepts are covered in the Equivalent Fractions Calculator?

equivalence
the state or property of being equivalent.
equivalent fractions
Two fractions with equal values, using a common factor to scale the numerator and denominator
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator