What is the remainder of 322/3?

Here we will explain and find the remainder of the fraction 322/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 322/3.

The fraction 322/3 has a numerator and denominator. The numerator is 322 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (322) 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 322 parts. So the question becomes, "How many wholes can you make with 322 parts and how many leftovers will you have?"

You can make a total of 107 wholes by using 321 parts. You can't make more wholes than that, because then you would go over 322 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 322/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 107 times into 322.

107 times 3 equals 321.

322 minus 321 = 1 remainder.

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