What is the remainder of 642/5?

Here we will explain and find the remainder of the fraction 642/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 642/5.

The fraction 642/5 has a numerator and denominator. The numerator is 642 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (642) 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 642 parts. So the question becomes, "How many wholes can you make with 642 parts and how many leftovers will you have?"

You can make a total of 128 wholes by using 640 parts. You can't make more wholes than that, because then you would go over 642 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 642/5. Therefore the answer is 2.

Here is the math to clarify what we explained above:

5 fits fully 128 times into 642.

128 times 5 equals 640.

642 minus 640 = 2 remainder.

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