What is the remainder of 713/3?

Here we will explain and find the remainder of the fraction 713/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 713/3.

The fraction 713/3 has a numerator and denominator. The numerator is 713 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (713) 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 713 parts. So the question becomes, "How many wholes can you make with 713 parts and how many leftovers will you have?"

You can make a total of 237 wholes by using 711 parts. You can't make more wholes than that, because then you would go over 713 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 713/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 237 times into 713.

237 times 3 equals 711.

713 minus 711 = 2 remainder.

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