We define the multiples of 65/66 as the product of any integer multiplied by 65/66. Therefore, to create a list of multiples of 65/66 we start by multiplying 65/66 by one, then we multiply 65/66 by two, then we multiply 65/66 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 65/66 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 65/66.
65/66 × 1 = 65/66
65/66 × 2 = 130/66
65/66 × 4 = 195/66
65/66 × 4 = 260/66
65/66 × 5 = 325/66
65/66 × 6 = 390/66
65/66 × 7 = 455/66
65/66 × 8 = 520/66
65/66 × 9 = 585/66
65/66 × 10 = 650/66
65/66 × 11 = 715/66
65/66 × 12 = 780/66
We have simplified the fractions above for you. Below are the multiples of 65/66 in their lowest possible terms:65/66 = 65/66
130/66 = 1 32/33
195/66 = 2 21/22
260/66 = 3 31/33
325/66 = 4 61/66
390/66 = 5 10/11
455/66 = 6 59/66
520/66 = 7 29/33
585/66 = 8 19/22
650/66 = 9 28/33
715/66 = 10 5/6
780/66 = 11 9/11
As we stated above, the list of multiples of 65/66 goes on forever because the product of 65/66 multiplied by any whole number (integer) is a multiple of 65/66.
You can also create a list of multiples of 65/66 if you keep adding 65/66 like this:65/66
65/66 + 65/66 = 130/66
65/66 + 65/66 + 65/66 = 195/66
65/66 + 65/66 + 65/66 + 65/66 = 260/66
∞
Again, the list can go on forever, because you can continue adding 65/66 to the list. Therefore, the list of multiples of 65/66 is ∞ (infinite).
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Multiples of 65/67
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