What is the remainder of 638/5?

Here we will explain and find the remainder of the fraction 638/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 638/5.

The fraction 638/5 has a numerator and denominator. The numerator is 638 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (638) 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 638 parts. So the question becomes, "How many wholes can you make with 638 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 638 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 638/5. Therefore the answer is 3.

Here is the math to clarify what we explained above:

5 fits fully 127 times into 638.

127 times 5 equals 635.

638 minus 635 = 3 remainder.

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