We define the multiples of 12/15 as the product of any integer multiplied by 12/15. Therefore, to create a list of multiples of 12/15 we start by multiplying 12/15 by one, then we multiply 12/15 by two, then we multiply 12/15 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 12/15 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 12/15.
12/15 × 1 = 12/15
12/15 × 2 = 24/15
12/15 × 4 = 36/15
12/15 × 4 = 48/15
12/15 × 5 = 60/15
12/15 × 6 = 72/15
12/15 × 7 = 84/15
12/15 × 8 = 96/15
12/15 × 9 = 108/15
12/15 × 10 = 120/15
12/15 × 11 = 132/15
12/15 × 12 = 144/15
We have simplified the fractions above for you. Below are the multiples of 12/15 in their lowest possible terms:12/15 = 4/5
24/15 = 1 3/5
36/15 = 2 2/5
48/15 = 3 1/5
60/15 = 4
72/15 = 4 4/5
84/15 = 5 3/5
96/15 = 6 2/5
108/15 = 7 1/5
120/15 = 8
132/15 = 8 4/5
144/15 = 9 3/5
As we stated above, the list of multiples of 12/15 goes on forever because the product of 12/15 multiplied by any whole number (integer) is a multiple of 12/15.
You can also create a list of multiples of 12/15 if you keep adding 12/15 like this:12/15
12/15 + 12/15 = 24/15
12/15 + 12/15 + 12/15 = 36/15
12/15 + 12/15 + 12/15 + 12/15 = 48/15
∞
Again, the list can go on forever, because you can continue adding 12/15 to the list. Therefore, the list of multiples of 12/15 is ∞ (infinite).
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