What is the remainder of 683/5?

Here we will explain and find the remainder of the fraction 683/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 683/5.

The fraction 683/5 has a numerator and denominator. The numerator is 683 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (683) is the part and the denominator (5) is the whole. In other words, to create a whole you need 5 parts. In this case, you have 683 parts. So the question becomes, "How many wholes can you make with 683 parts and how many leftovers will you have?"

You can make a total of 136 wholes by using 680 parts. You can't make more wholes than that, because then you would go over 683 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 683/5. Therefore the answer is 3.

Here is the math to clarify what we explained above:

5 fits fully 136 times into 683.

136 times 5 equals 680.

683 minus 680 = 3 remainder.

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