We define the multiples of 10/23 as the product of any integer multiplied by 10/23. Therefore, to create a list of multiples of 10/23 we start by multiplying 10/23 by one, then we multiply 10/23 by two, then we multiply 10/23 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 10/23 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 10/23.
10/23 × 1 = 10/23
10/23 × 2 = 20/23
10/23 × 4 = 30/23
10/23 × 4 = 40/23
10/23 × 5 = 50/23
10/23 × 6 = 60/23
10/23 × 7 = 70/23
10/23 × 8 = 80/23
10/23 × 9 = 90/23
10/23 × 10 = 100/23
10/23 × 11 = 110/23
10/23 × 12 = 120/23
We have simplified the fractions above for you. Below are the multiples of 10/23 in their lowest possible terms:10/23 = 10/23
20/23 = 20/23
30/23 = 1 7/23
40/23 = 1 17/23
50/23 = 2 4/23
60/23 = 2 14/23
70/23 = 3 1/23
80/23 = 3 11/23
90/23 = 3 21/23
100/23 = 4 8/23
110/23 = 4 18/23
120/23 = 5 5/23
As we stated above, the list of multiples of 10/23 goes on forever because the product of 10/23 multiplied by any whole number (integer) is a multiple of 10/23.
You can also create a list of multiples of 10/23 if you keep adding 10/23 like this:10/23
10/23 + 10/23 = 20/23
10/23 + 10/23 + 10/23 = 30/23
10/23 + 10/23 + 10/23 + 10/23 = 40/23
∞
Again, the list can go on forever, because you can continue adding 10/23 to the list. Therefore, the list of multiples of 10/23 is ∞ (infinite).
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