What is the remainder of 667/5?

Here we will explain and find the remainder of the fraction 667/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 667/5.

The fraction 667/5 has a numerator and denominator. The numerator is 667 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (667) 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 667 parts. So the question becomes, "How many wholes can you make with 667 parts and how many leftovers will you have?"

You can make a total of 133 wholes by using 665 parts. You can't make more wholes than that, because then you would go over 667 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 667/5. Therefore the answer is 2.

Here is the math to clarify what we explained above:

5 fits fully 133 times into 667.

133 times 5 equals 665.

667 minus 665 = 2 remainder.

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