We define the multiples of 57/60 as the product of any integer multiplied by 57/60. Therefore, to create a list of multiples of 57/60 we start by multiplying 57/60 by one, then we multiply 57/60 by two, then we multiply 57/60 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 57/60 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 57/60.
57/60 × 1 = 57/60
57/60 × 2 = 114/60
57/60 × 4 = 171/60
57/60 × 4 = 228/60
57/60 × 5 = 285/60
57/60 × 6 = 342/60
57/60 × 7 = 399/60
57/60 × 8 = 456/60
57/60 × 9 = 513/60
57/60 × 10 = 570/60
57/60 × 11 = 627/60
57/60 × 12 = 684/60
We have simplified the fractions above for you. Below are the multiples of 57/60 in their lowest possible terms:57/60 = 19/20
114/60 = 1 9/10
171/60 = 2 17/20
228/60 = 3 4/5
285/60 = 4 3/4
342/60 = 5 7/10
399/60 = 6 13/20
456/60 = 7 3/5
513/60 = 8 11/20
570/60 = 9 1/2
627/60 = 10 9/20
684/60 = 11 2/5
As we stated above, the list of multiples of 57/60 goes on forever because the product of 57/60 multiplied by any whole number (integer) is a multiple of 57/60.
You can also create a list of multiples of 57/60 if you keep adding 57/60 like this:57/60
57/60 + 57/60 = 114/60
57/60 + 57/60 + 57/60 = 171/60
57/60 + 57/60 + 57/60 + 57/60 = 228/60
∞
Again, the list can go on forever, because you can continue adding 57/60 to the list. Therefore, the list of multiples of 57/60 is ∞ (infinite).
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Multiples of 57/61
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