We define the multiples of 66/69 as the product of any integer multiplied by 66/69. Therefore, to create a list of multiples of 66/69 we start by multiplying 66/69 by one, then we multiply 66/69 by two, then we multiply 66/69 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 66/69 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 66/69.
66/69 × 1 = 66/69
66/69 × 2 = 132/69
66/69 × 4 = 198/69
66/69 × 4 = 264/69
66/69 × 5 = 330/69
66/69 × 6 = 396/69
66/69 × 7 = 462/69
66/69 × 8 = 528/69
66/69 × 9 = 594/69
66/69 × 10 = 660/69
66/69 × 11 = 726/69
66/69 × 12 = 792/69
We have simplified the fractions above for you. Below are the multiples of 66/69 in their lowest possible terms:66/69 = 22/23
132/69 = 1 21/23
198/69 = 2 20/23
264/69 = 3 19/23
330/69 = 4 18/23
396/69 = 5 17/23
462/69 = 6 16/23
528/69 = 7 15/23
594/69 = 8 14/23
660/69 = 9 13/23
726/69 = 10 12/23
792/69 = 11 11/23
As we stated above, the list of multiples of 66/69 goes on forever because the product of 66/69 multiplied by any whole number (integer) is a multiple of 66/69.
You can also create a list of multiples of 66/69 if you keep adding 66/69 like this:66/69
66/69 + 66/69 = 132/69
66/69 + 66/69 + 66/69 = 198/69
66/69 + 66/69 + 66/69 + 66/69 = 264/69
∞
Again, the list can go on forever, because you can continue adding 66/69 to the list. Therefore, the list of multiples of 66/69 is ∞ (infinite).
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Multiples of 66/70
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