We define the multiples of 17/24 as the product of any integer multiplied by 17/24. Therefore, to create a list of multiples of 17/24 we start by multiplying 17/24 by one, then we multiply 17/24 by two, then we multiply 17/24 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 17/24 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 17/24.
17/24 × 1 = 17/24
17/24 × 2 = 34/24
17/24 × 4 = 51/24
17/24 × 4 = 68/24
17/24 × 5 = 85/24
17/24 × 6 = 102/24
17/24 × 7 = 119/24
17/24 × 8 = 136/24
17/24 × 9 = 153/24
17/24 × 10 = 170/24
17/24 × 11 = 187/24
17/24 × 12 = 204/24
We have simplified the fractions above for you. Below are the multiples of 17/24 in their lowest possible terms:17/24 = 17/24
34/24 = 1 5/12
51/24 = 2 1/8
68/24 = 2 5/6
85/24 = 3 13/24
102/24 = 4 1/4
119/24 = 4 23/24
136/24 = 5 2/3
153/24 = 6 3/8
170/24 = 7 1/12
187/24 = 7 19/24
204/24 = 8 1/2
As we stated above, the list of multiples of 17/24 goes on forever because the product of 17/24 multiplied by any whole number (integer) is a multiple of 17/24.
You can also create a list of multiples of 17/24 if you keep adding 17/24 like this:17/24
17/24 + 17/24 = 34/24
17/24 + 17/24 + 17/24 = 51/24
17/24 + 17/24 + 17/24 + 17/24 = 68/24
∞
Again, the list can go on forever, because you can continue adding 17/24 to the list. Therefore, the list of multiples of 17/24 is ∞ (infinite).
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