We define the multiples of 10/3 as the product of any integer multiplied by 10/3. Therefore, to create a list of multiples of 10/3 we start by multiplying 10/3 by one, then we multiply 10/3 by two, then we multiply 10/3 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 10/3 because the list goes on forever. However, here is the math to calculate the beginning list of multiples of 10/3.
10/3 × 1 = 10/3
10/3 × 2 = 20/3
10/3 × 4 = 30/3
10/3 × 4 = 40/3
10/3 × 5 = 50/3
10/3 × 6 = 60/3
10/3 × 7 = 70/3
10/3 × 8 = 80/3
10/3 × 9 = 90/3
10/3 × 10 = 100/3
10/3 × 11 = 110/3
10/3 × 12 = 120/3
We have simplified the fractions above for you. Below are the multiples of 10/3 in their lowest possible terms:10/3 = 3 1/3
20/3 = 6 2/3
30/3 = 10
40/3 = 13 1/3
50/3 = 16 2/3
60/3 = 20
70/3 = 23 1/3
80/3 = 26 2/3
90/3 = 30
100/3 = 33 1/3
110/3 = 36 2/3
120/3 = 40
As we stated above, the list of multiples of 10/3 goes on forever because the product of 10/3 multiplied by any whole number (integer) is a multiple of 10/3.
You can also create a list of multiples of 10/3 if you keep adding 10/3 like this:10/3
10/3 + 10/3 = 20/3
10/3 + 10/3 + 10/3 = 30/3
10/3 + 10/3 + 10/3 + 10/3 = 40/3
∞
Again, the list can go on forever, because you can continue adding 10/3 to the list. Therefore, the list of multiples of 10/3 is ∞ (infinite).
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