We define the multiples of 12/21 as the product of any integer multiplied by 12/21. Therefore, to create a list of multiples of 12/21 we start by multiplying 12/21 by one, then we multiply 12/21 by two, then we multiply 12/21 by three, and so on.
To multiply a fraction by an integer, we leave the denominator alone and multiply the numerator by the integer. It is impossible to give you a list of all multiples of 12/21 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 12/21.
12/21 × 1 = 12/21
12/21 × 2 = 24/21
12/21 × 4 = 36/21
12/21 × 4 = 48/21
12/21 × 5 = 60/21
12/21 × 6 = 72/21
12/21 × 7 = 84/21
12/21 × 8 = 96/21
12/21 × 9 = 108/21
12/21 × 10 = 120/21
12/21 × 11 = 132/21
12/21 × 12 = 144/21
We have simplified the fractions above for you. Below are the multiples of 12/21 in their lowest possible terms:12/21 = 4/7
24/21 = 1 1/7
36/21 = 1 5/7
48/21 = 2 2/7
60/21 = 2 6/7
72/21 = 3 3/7
84/21 = 4
96/21 = 4 4/7
108/21 = 5 1/7
120/21 = 5 5/7
132/21 = 6 2/7
144/21 = 6 6/7
As we stated above, the list of multiples of 12/21 goes on forever because the product of 12/21 multiplied by any whole number (integer) is a multiple of 12/21.
You can also create a list of multiples of 12/21 if you keep adding 12/21 like this:12/21
12/21 + 12/21 = 24/21
12/21 + 12/21 + 12/21 = 36/21
12/21 + 12/21 + 12/21 + 12/21 = 48/21
∞
Again, the list can go on forever, because you can continue adding 12/21 to the list. Therefore, the list of multiples of 12/21 is ∞ (infinite).
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Multiples of 12/22
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