What is the remainder of 316/3?

Here we will explain and find the remainder of the fraction 316/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 316/3.

The fraction 316/3 has a numerator and denominator. The numerator is 316 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (316) 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 316 parts. So the question becomes, "How many wholes can you make with 316 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 316 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 316/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 105 times into 316.

105 times 3 equals 315.

316 minus 315 = 1 remainder.

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