We define the multiples of 12/17 as the product of any integer multiplied by 12/17. Therefore, to create a list of multiples of 12/17 we start by multiplying 12/17 by one, then we multiply 12/17 by two, then we multiply 12/17 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 12/17 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 12/17.
12/17 × 1 = 12/17
12/17 × 2 = 24/17
12/17 × 4 = 36/17
12/17 × 4 = 48/17
12/17 × 5 = 60/17
12/17 × 6 = 72/17
12/17 × 7 = 84/17
12/17 × 8 = 96/17
12/17 × 9 = 108/17
12/17 × 10 = 120/17
12/17 × 11 = 132/17
12/17 × 12 = 144/17
We have simplified the fractions above for you. Below are the multiples of 12/17 in their lowest possible terms:12/17 = 12/17
24/17 = 1 7/17
36/17 = 2 2/17
48/17 = 2 14/17
60/17 = 3 9/17
72/17 = 4 4/17
84/17 = 4 16/17
96/17 = 5 11/17
108/17 = 6 6/17
120/17 = 7 1/17
132/17 = 7 13/17
144/17 = 8 8/17
As we stated above, the list of multiples of 12/17 goes on forever because the product of 12/17 multiplied by any whole number (integer) is a multiple of 12/17.
You can also create a list of multiples of 12/17 if you keep adding 12/17 like this:12/17
12/17 + 12/17 = 24/17
12/17 + 12/17 + 12/17 = 36/17
12/17 + 12/17 + 12/17 + 12/17 = 48/17
∞
Again, the list can go on forever, because you can continue adding 12/17 to the list. Therefore, the list of multiples of 12/17 is ∞ (infinite).
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