What is the remainder of 868/3?

Here we will explain and find the remainder of the fraction 868/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 868/3.

The fraction 868/3 has a numerator and denominator. The numerator is 868 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (868) 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 868 parts. So the question becomes, "How many wholes can you make with 868 parts and how many leftovers will you have?"

You can make a total of 289 wholes by using 867 parts. You can't make more wholes than that, because then you would go over 868 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 868/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 289 times into 868.

289 times 3 equals 867.

868 minus 867 = 1 remainder.

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