What is the remainder of 968/3?

Here we will explain and find the remainder of the fraction 968/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 968/3.

The fraction 968/3 has a numerator and denominator. The numerator is 968 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (968) 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 968 parts. So the question becomes, "How many wholes can you make with 968 parts and how many leftovers will you have?"

You can make a total of 322 wholes by using 966 parts. You can't make more wholes than that, because then you would go over 968 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 968/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 322 times into 968.

322 times 3 equals 966.

968 minus 966 = 2 remainder.

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