What is the remainder of 793/3?

Here we will explain and find the remainder of the fraction 793/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 793/3.

The fraction 793/3 has a numerator and denominator. The numerator is 793 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (793) 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 793 parts. So the question becomes, "How many wholes can you make with 793 parts and how many leftovers will you have?"

You can make a total of 264 wholes by using 792 parts. You can't make more wholes than that, because then you would go over 793 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 793/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 264 times into 793.

264 times 3 equals 792.

793 minus 792 = 1 remainder.

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