We define the multiples of 17/6 as the product of any integer multiplied by 17/6. Therefore, to create a list of multiples of 17/6 we start by multiplying 17/6 by one, then we multiply 17/6 by two, then we multiply 17/6 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 17/6 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 17/6.
17/6 × 1 = 17/6
17/6 × 2 = 34/6
17/6 × 4 = 51/6
17/6 × 4 = 68/6
17/6 × 5 = 85/6
17/6 × 6 = 102/6
17/6 × 7 = 119/6
17/6 × 8 = 136/6
17/6 × 9 = 153/6
17/6 × 10 = 170/6
17/6 × 11 = 187/6
17/6 × 12 = 204/6
We have simplified the fractions above for you. Below are the multiples of 17/6 in their lowest possible terms:17/6 = 2 5/6
34/6 = 5 2/3
51/6 = 8 1/2
68/6 = 11 1/3
85/6 = 14 1/6
102/6 = 17
119/6 = 19 5/6
136/6 = 22 2/3
153/6 = 25 1/2
170/6 = 28 1/3
187/6 = 31 1/6
204/6 = 34
As we stated above, the list of multiples of 17/6 goes on forever because the product of 17/6 multiplied by any whole number (integer) is a multiple of 17/6.
You can also create a list of multiples of 17/6 if you keep adding 17/6 like this:17/6
17/6 + 17/6 = 34/6
17/6 + 17/6 + 17/6 = 51/6
17/6 + 17/6 + 17/6 + 17/6 = 68/6
∞
Again, the list can go on forever, because you can continue adding 17/6 to the list. Therefore, the list of multiples of 17/6 is ∞ (infinite).
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