What is the remainder of 317/3?

Here we will explain and find the remainder of the fraction 317/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 317/3.

The fraction 317/3 has a numerator and denominator. The numerator is 317 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (317) 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 317 parts. So the question becomes, "How many wholes can you make with 317 parts and how many leftovers will you have?"

You can make a total of 105 wholes by using 315 parts. You can't make more wholes than that, because then you would go over 317 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 317/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 105 times into 317.

105 times 3 equals 315.

317 minus 315 = 2 remainder.

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