We define the multiples of 45/15 as the product of any integer multiplied by 45/15. Therefore, to create a list of multiples of 45/15 we start by multiplying 45/15 by one, then we multiply 45/15 by two, then we multiply 45/15 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 45/15 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 45/15.
45/15 × 1 = 45/15
45/15 × 2 = 90/15
45/15 × 4 = 135/15
45/15 × 4 = 180/15
45/15 × 5 = 225/15
45/15 × 6 = 270/15
45/15 × 7 = 315/15
45/15 × 8 = 360/15
45/15 × 9 = 405/15
45/15 × 10 = 450/15
45/15 × 11 = 495/15
45/15 × 12 = 540/15
We have simplified the fractions above for you. Below are the multiples of 45/15 in their lowest possible terms:45/15 = 3
90/15 = 6
135/15 = 9
180/15 = 12
225/15 = 15
270/15 = 18
315/15 = 21
360/15 = 24
405/15 = 27
450/15 = 30
495/15 = 33
540/15 = 36
As we stated above, the list of multiples of 45/15 goes on forever because the product of 45/15 multiplied by any whole number (integer) is a multiple of 45/15.
You can also create a list of multiples of 45/15 if you keep adding 45/15 like this:45/15
45/15 + 45/15 = 90/15
45/15 + 45/15 + 45/15 = 135/15
45/15 + 45/15 + 45/15 + 45/15 = 180/15
∞
Again, the list can go on forever, because you can continue adding 45/15 to the list. Therefore, the list of multiples of 45/15 is ∞ (infinite).
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