What is the remainder of 829/3?

Here we will explain and find the remainder of the fraction 829/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 829/3.

The fraction 829/3 has a numerator and denominator. The numerator is 829 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (829) 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 829 parts. So the question becomes, "How many wholes can you make with 829 parts and how many leftovers will you have?"

You can make a total of 276 wholes by using 828 parts. You can't make more wholes than that, because then you would go over 829 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 829/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 276 times into 829.

276 times 3 equals 828.

829 minus 828 = 1 remainder.

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