What is the remainder of 982/3?

Here we will explain and find the remainder of the fraction 982/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 982/3.

The fraction 982/3 has a numerator and denominator. The numerator is 982 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (982) 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 982 parts. So the question becomes, "How many wholes can you make with 982 parts and how many leftovers will you have?"

You can make a total of 327 wholes by using 981 parts. You can't make more wholes than that, because then you would go over 982 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 982/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 327 times into 982.

327 times 3 equals 981.

982 minus 981 = 1 remainder.

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