We define the multiples of 17/15 as the product of any integer multiplied by 17/15. Therefore, to create a list of multiples of 17/15 we start by multiplying 17/15 by one, then we multiply 17/15 by two, then we multiply 17/15 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 17/15 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 17/15.
17/15 × 1 = 17/15
17/15 × 2 = 34/15
17/15 × 4 = 51/15
17/15 × 4 = 68/15
17/15 × 5 = 85/15
17/15 × 6 = 102/15
17/15 × 7 = 119/15
17/15 × 8 = 136/15
17/15 × 9 = 153/15
17/15 × 10 = 170/15
17/15 × 11 = 187/15
17/15 × 12 = 204/15
We have simplified the fractions above for you. Below are the multiples of 17/15 in their lowest possible terms:17/15 = 1 2/15
34/15 = 2 4/15
51/15 = 3 2/5
68/15 = 4 8/15
85/15 = 5 2/3
102/15 = 6 4/5
119/15 = 7 14/15
136/15 = 9 1/15
153/15 = 10 1/5
170/15 = 11 1/3
187/15 = 12 7/15
204/15 = 13 3/5
As we stated above, the list of multiples of 17/15 goes on forever because the product of 17/15 multiplied by any whole number (integer) is a multiple of 17/15.
You can also create a list of multiples of 17/15 if you keep adding 17/15 like this:17/15
17/15 + 17/15 = 34/15
17/15 + 17/15 + 17/15 = 51/15
17/15 + 17/15 + 17/15 + 17/15 = 68/15
∞
Again, the list can go on forever, because you can continue adding 17/15 to the list. Therefore, the list of multiples of 17/15 is ∞ (infinite).
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