What is the remainder of 509/3?

Here we will explain and find the remainder of the fraction 509/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 509/3.

The fraction 509/3 has a numerator and denominator. The numerator is 509 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (509) is the part and the denominator (3) is the whole. In other words, to create a whole you need 3 parts. In this case, you have 509 parts. So the question becomes, "How many wholes can you make with 509 parts and how many leftovers will you have?"

You can make a total of 169 wholes by using 507 parts. You can't make more wholes than that, because then you would go over 509 parts.

The difference between the parts you used to make as many wholes as possible, and how many parts you have total, is leftover parts. Furthermore, the leftover parts are the remainder of 509/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 169 times into 509.

169 times 3 equals 507.

509 minus 507 = 2 remainder.

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