We define the multiples of 6/9 as the product of any integer multiplied by 6/9. Therefore, to create a list of multiples of 6/9 we start by multiplying 6/9 by one, then we multiply 6/9 by two, then we multiply 6/9 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 6/9 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 6/9.
6/9 × 1 = 6/9
6/9 × 2 = 12/9
6/9 × 4 = 18/9
6/9 × 4 = 24/9
6/9 × 5 = 30/9
6/9 × 6 = 36/9
6/9 × 7 = 42/9
6/9 × 8 = 48/9
6/9 × 9 = 54/9
6/9 × 10 = 60/9
6/9 × 11 = 66/9
6/9 × 12 = 72/9
We have simplified the fractions above for you. Below are the multiples of 6/9 in their lowest possible terms:6/9 = 2/3
12/9 = 1 1/3
18/9 = 2
24/9 = 2 2/3
30/9 = 3 1/3
36/9 = 4
42/9 = 4 2/3
48/9 = 5 1/3
54/9 = 6
60/9 = 6 2/3
66/9 = 7 1/3
72/9 = 8
As we stated above, the list of multiples of 6/9 goes on forever because the product of 6/9 multiplied by any whole number (integer) is a multiple of 6/9.
You can also create a list of multiples of 6/9 if you keep adding 6/9 like this:6/9
6/9 + 6/9 = 12/9
6/9 + 6/9 + 6/9 = 18/9
6/9 + 6/9 + 6/9 + 6/9 = 24/9
∞
Again, the list can go on forever, because you can continue adding 6/9 to the list. Therefore, the list of multiples of 6/9 is ∞ (infinite).
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Multiples of 6/10
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