What is the remainder of 772/3?

Here we will explain and find the remainder of the fraction 772/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 772/3.

The fraction 772/3 has a numerator and denominator. The numerator is 772 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (772) 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 772 parts. So the question becomes, "How many wholes can you make with 772 parts and how many leftovers will you have?"

You can make a total of 257 wholes by using 771 parts. You can't make more wholes than that, because then you would go over 772 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 772/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 257 times into 772.

257 times 3 equals 771.

772 minus 771 = 1 remainder.

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