What is the remainder of 31/3?

Here we will explain and find the remainder of the fraction 31/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 31/3.

The fraction 31/3 has a numerator and denominator. The numerator is 31 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (31) 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 31 parts. So the question becomes, "How many wholes can you make with 31 parts and how many leftovers will you have?"

You can make a total of 10 wholes by using 30 parts. You can't make more wholes than that, because then you would go over 31 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 31/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 10 times into 31.

10 times 3 equals 30.

31 minus 30 = 1 remainder.

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