We define the multiples of 10/17 as the product of any integer multiplied by 10/17. Therefore, to create a list of multiples of 10/17 we start by multiplying 10/17 by one, then we multiply 10/17 by two, then we multiply 10/17 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 10/17 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 10/17.
10/17 × 1 = 10/17
10/17 × 2 = 20/17
10/17 × 4 = 30/17
10/17 × 4 = 40/17
10/17 × 5 = 50/17
10/17 × 6 = 60/17
10/17 × 7 = 70/17
10/17 × 8 = 80/17
10/17 × 9 = 90/17
10/17 × 10 = 100/17
10/17 × 11 = 110/17
10/17 × 12 = 120/17
We have simplified the fractions above for you. Below are the multiples of 10/17 in their lowest possible terms:10/17 = 10/17
20/17 = 1 3/17
30/17 = 1 13/17
40/17 = 2 6/17
50/17 = 2 16/17
60/17 = 3 9/17
70/17 = 4 2/17
80/17 = 4 12/17
90/17 = 5 5/17
100/17 = 5 15/17
110/17 = 6 8/17
120/17 = 7 1/17
As we stated above, the list of multiples of 10/17 goes on forever because the product of 10/17 multiplied by any whole number (integer) is a multiple of 10/17.
You can also create a list of multiples of 10/17 if you keep adding 10/17 like this:10/17
10/17 + 10/17 = 20/17
10/17 + 10/17 + 10/17 = 30/17
10/17 + 10/17 + 10/17 + 10/17 = 40/17
∞
Again, the list can go on forever, because you can continue adding 10/17 to the list. Therefore, the list of multiples of 10/17 is ∞ (infinite).
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