What is the remainder of 805/3?

Here we will explain and find the remainder of the fraction 805/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 805/3.

The fraction 805/3 has a numerator and denominator. The numerator is 805 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (805) 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 805 parts. So the question becomes, "How many wholes can you make with 805 parts and how many leftovers will you have?"

You can make a total of 268 wholes by using 804 parts. You can't make more wholes than that, because then you would go over 805 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 805/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 268 times into 805.

268 times 3 equals 804.

805 minus 804 = 1 remainder.

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