What is the remainder of 664/5?

Here we will explain and find the remainder of the fraction 664/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 664/5.

The fraction 664/5 has a numerator and denominator. The numerator is 664 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (664) 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 664 parts. So the question becomes, "How many wholes can you make with 664 parts and how many leftovers will you have?"

You can make a total of 132 wholes by using 660 parts. You can't make more wholes than that, because then you would go over 664 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 664/5. Therefore the answer is 4.

Here is the math to clarify what we explained above:

5 fits fully 132 times into 664.

132 times 5 equals 660.

664 minus 660 = 4 remainder.

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