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