What is the remainder of 987/3?




Here we will explain and find the remainder of the fraction 987/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 987/3.

The fraction 987/3 has a numerator and denominator. The numerator is 987 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (987) 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 987 parts. So the question becomes, "How many wholes can you make with 987 parts and how many leftovers will you have?"

You can make a total of 329 wholes by using 987 parts. You can't make more wholes than that, because then you would go over 987 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 987/3. Therefore the answer is 0.


Here is the math to clarify what we explained above:

3 fits fully 329 times into 987.

329 times 3 equals 987.

987 minus 987 = 0 remainder.

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