We define the multiples of 30/99 as the product of any integer multiplied by 30/99. Therefore, to create a list of multiples of 30/99 we start by multiplying 30/99 by one, then we multiply 30/99 by two, then we multiply 30/99 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 30/99 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 30/99.
30/99 × 1 = 30/99
30/99 × 2 = 60/99
30/99 × 4 = 90/99
30/99 × 4 = 120/99
30/99 × 5 = 150/99
30/99 × 6 = 180/99
30/99 × 7 = 210/99
30/99 × 8 = 240/99
30/99 × 9 = 270/99
30/99 × 10 = 300/99
30/99 × 11 = 330/99
30/99 × 12 = 360/99
We have simplified the fractions above for you. Below are the multiples of 30/99 in their lowest possible terms:30/99 = 10/33
60/99 = 20/33
90/99 = 10/11
120/99 = 1 7/33
150/99 = 1 17/33
180/99 = 1 9/11
210/99 = 2 4/33
240/99 = 2 14/33
270/99 = 2 8/11
300/99 = 3 1/33
330/99 = 3 1/3
360/99 = 3 7/11
As we stated above, the list of multiples of 30/99 goes on forever because the product of 30/99 multiplied by any whole number (integer) is a multiple of 30/99.
You can also create a list of multiples of 30/99 if you keep adding 30/99 like this:30/99
30/99 + 30/99 = 60/99
30/99 + 30/99 + 30/99 = 90/99
30/99 + 30/99 + 30/99 + 30/99 = 120/99
∞
Again, the list can go on forever, because you can continue adding 30/99 to the list. Therefore, the list of multiples of 30/99 is ∞ (infinite).
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