What is the remainder of 902/3?

Here we will explain and find the remainder of the fraction 902/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 902/3.

The fraction 902/3 has a numerator and denominator. The numerator is 902 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (902) 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 902 parts. So the question becomes, "How many wholes can you make with 902 parts and how many leftovers will you have?"

You can make a total of 300 wholes by using 900 parts. You can't make more wholes than that, because then you would go over 902 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 902/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 300 times into 902.

300 times 3 equals 900.

902 minus 900 = 2 remainder.

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