What is the remainder of 645/5?

Here we will explain and find the remainder of the fraction 645/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 645/5.

The fraction 645/5 has a numerator and denominator. The numerator is 645 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (645) 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 645 parts. So the question becomes, "How many wholes can you make with 645 parts and how many leftovers will you have?"

You can make a total of 129 wholes by using 645 parts. You can't make more wholes than that, because then you would go over 645 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 645/5. Therefore the answer is 0.

Here is the math to clarify what we explained above:

5 fits fully 129 times into 645.

129 times 5 equals 645.

645 minus 645 = 0 remainder.

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