What is the remainder of 802/3?

Here we will explain and find the remainder of the fraction 802/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 802/3.

The fraction 802/3 has a numerator and denominator. The numerator is 802 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (802) 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 802 parts. So the question becomes, "How many wholes can you make with 802 parts and how many leftovers will you have?"

You can make a total of 267 wholes by using 801 parts. You can't make more wholes than that, because then you would go over 802 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 802/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 267 times into 802.

267 times 3 equals 801.

802 minus 801 = 1 remainder.

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