What is the remainder of 637/5?

Here we will explain and find the remainder of the fraction 637/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 637/5.

The fraction 637/5 has a numerator and denominator. The numerator is 637 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (637) 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 637 parts. So the question becomes, "How many wholes can you make with 637 parts and how many leftovers will you have?"

You can make a total of 127 wholes by using 635 parts. You can't make more wholes than that, because then you would go over 637 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 637/5. Therefore the answer is 2.

Here is the math to clarify what we explained above:

5 fits fully 127 times into 637.

127 times 5 equals 635.

637 minus 635 = 2 remainder.

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