We define the multiples of 14/17 as the product of any integer multiplied by 14/17. Therefore, to create a list of multiples of 14/17 we start by multiplying 14/17 by one, then we multiply 14/17 by two, then we multiply 14/17 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 14/17 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 14/17.
14/17 × 1 = 14/17
14/17 × 2 = 28/17
14/17 × 4 = 42/17
14/17 × 4 = 56/17
14/17 × 5 = 70/17
14/17 × 6 = 84/17
14/17 × 7 = 98/17
14/17 × 8 = 112/17
14/17 × 9 = 126/17
14/17 × 10 = 140/17
14/17 × 11 = 154/17
14/17 × 12 = 168/17
We have simplified the fractions above for you. Below are the multiples of 14/17 in their lowest possible terms:14/17 = 14/17
28/17 = 1 11/17
42/17 = 2 8/17
56/17 = 3 5/17
70/17 = 4 2/17
84/17 = 4 16/17
98/17 = 5 13/17
112/17 = 6 10/17
126/17 = 7 7/17
140/17 = 8 4/17
154/17 = 9 1/17
168/17 = 9 15/17
As we stated above, the list of multiples of 14/17 goes on forever because the product of 14/17 multiplied by any whole number (integer) is a multiple of 14/17.
You can also create a list of multiples of 14/17 if you keep adding 14/17 like this:14/17
14/17 + 14/17 = 28/17
14/17 + 14/17 + 14/17 = 42/17
14/17 + 14/17 + 14/17 + 14/17 = 56/17
∞
Again, the list can go on forever, because you can continue adding 14/17 to the list. Therefore, the list of multiples of 14/17 is ∞ (infinite).
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