We define the multiples of 59/60 as the product of any integer multiplied by 59/60. Therefore, to create a list of multiples of 59/60 we start by multiplying 59/60 by one, then we multiply 59/60 by two, then we multiply 59/60 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 59/60 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 59/60.
59/60 × 1 = 59/60
59/60 × 2 = 118/60
59/60 × 4 = 177/60
59/60 × 4 = 236/60
59/60 × 5 = 295/60
59/60 × 6 = 354/60
59/60 × 7 = 413/60
59/60 × 8 = 472/60
59/60 × 9 = 531/60
59/60 × 10 = 590/60
59/60 × 11 = 649/60
59/60 × 12 = 708/60
We have simplified the fractions above for you. Below are the multiples of 59/60 in their lowest possible terms:59/60 = 59/60
118/60 = 1 29/30
177/60 = 2 19/20
236/60 = 3 14/15
295/60 = 4 11/12
354/60 = 5 9/10
413/60 = 6 53/60
472/60 = 7 13/15
531/60 = 8 17/20
590/60 = 9 5/6
649/60 = 10 49/60
708/60 = 11 4/5
As we stated above, the list of multiples of 59/60 goes on forever because the product of 59/60 multiplied by any whole number (integer) is a multiple of 59/60.
You can also create a list of multiples of 59/60 if you keep adding 59/60 like this:59/60
59/60 + 59/60 = 118/60
59/60 + 59/60 + 59/60 = 177/60
59/60 + 59/60 + 59/60 + 59/60 = 236/60
∞
Again, the list can go on forever, because you can continue adding 59/60 to the list. Therefore, the list of multiples of 59/60 is ∞ (infinite).
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Multiples of 59/61
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