What is the remainder of 849/3?

Here we will explain and find the remainder of the fraction 849/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 849/3.

The fraction 849/3 has a numerator and denominator. The numerator is 849 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (849) 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 849 parts. So the question becomes, "How many wholes can you make with 849 parts and how many leftovers will you have?"

You can make a total of 283 wholes by using 849 parts. You can't make more wholes than that, because then you would go over 849 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 849/3. Therefore the answer is 0.

Here is the math to clarify what we explained above:

3 fits fully 283 times into 849.

283 times 3 equals 849.

849 minus 849 = 0 remainder.

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