We define the multiples of 17/18 as the product of any integer multiplied by 17/18. Therefore, to create a list of multiples of 17/18 we start by multiplying 17/18 by one, then we multiply 17/18 by two, then we multiply 17/18 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 17/18 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 17/18.
17/18 × 1 = 17/18
17/18 × 2 = 34/18
17/18 × 4 = 51/18
17/18 × 4 = 68/18
17/18 × 5 = 85/18
17/18 × 6 = 102/18
17/18 × 7 = 119/18
17/18 × 8 = 136/18
17/18 × 9 = 153/18
17/18 × 10 = 170/18
17/18 × 11 = 187/18
17/18 × 12 = 204/18
We have simplified the fractions above for you. Below are the multiples of 17/18 in their lowest possible terms:17/18 = 17/18
34/18 = 1 8/9
51/18 = 2 5/6
68/18 = 3 7/9
85/18 = 4 13/18
102/18 = 5 2/3
119/18 = 6 11/18
136/18 = 7 5/9
153/18 = 8 1/2
170/18 = 9 4/9
187/18 = 10 7/18
204/18 = 11 1/3
As we stated above, the list of multiples of 17/18 goes on forever because the product of 17/18 multiplied by any whole number (integer) is a multiple of 17/18.
You can also create a list of multiples of 17/18 if you keep adding 17/18 like this:17/18
17/18 + 17/18 = 34/18
17/18 + 17/18 + 17/18 = 51/18
17/18 + 17/18 + 17/18 + 17/18 = 68/18
∞
Again, the list can go on forever, because you can continue adding 17/18 to the list. Therefore, the list of multiples of 17/18 is ∞ (infinite).
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