We define the multiples of 13/17 as the product of any integer multiplied by 13/17. Therefore, to create a list of multiples of 13/17 we start by multiplying 13/17 by one, then we multiply 13/17 by two, then we multiply 13/17 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 13/17 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 13/17.
13/17 × 1 = 13/17
13/17 × 2 = 26/17
13/17 × 4 = 39/17
13/17 × 4 = 52/17
13/17 × 5 = 65/17
13/17 × 6 = 78/17
13/17 × 7 = 91/17
13/17 × 8 = 104/17
13/17 × 9 = 117/17
13/17 × 10 = 130/17
13/17 × 11 = 143/17
13/17 × 12 = 156/17
We have simplified the fractions above for you. Below are the multiples of 13/17 in their lowest possible terms:13/17 = 13/17
26/17 = 1 9/17
39/17 = 2 5/17
52/17 = 3 1/17
65/17 = 3 14/17
78/17 = 4 10/17
91/17 = 5 6/17
104/17 = 6 2/17
117/17 = 6 15/17
130/17 = 7 11/17
143/17 = 8 7/17
156/17 = 9 3/17
As we stated above, the list of multiples of 13/17 goes on forever because the product of 13/17 multiplied by any whole number (integer) is a multiple of 13/17.
You can also create a list of multiples of 13/17 if you keep adding 13/17 like this:13/17
13/17 + 13/17 = 26/17
13/17 + 13/17 + 13/17 = 39/17
13/17 + 13/17 + 13/17 + 13/17 = 52/17
∞
Again, the list can go on forever, because you can continue adding 13/17 to the list. Therefore, the list of multiples of 13/17 is ∞ (infinite).
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