What is the remainder of 899/3?




Here we will explain and find the remainder of the fraction 899/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 899/3.

The fraction 899/3 has a numerator and denominator. The numerator is 899 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (899) 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 899 parts. So the question becomes, "How many wholes can you make with 899 parts and how many leftovers will you have?"

You can make a total of 299 wholes by using 897 parts. You can't make more wholes than that, because then you would go over 899 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 899/3. Therefore the answer is 2.


Here is the math to clarify what we explained above:

3 fits fully 299 times into 899.

299 times 3 equals 897.

899 minus 897 = 2 remainder.

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