What is the remainder of 677/5?

Here we will explain and find the remainder of the fraction 677/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 677/5.

The fraction 677/5 has a numerator and denominator. The numerator is 677 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (677) 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 677 parts. So the question becomes, "How many wholes can you make with 677 parts and how many leftovers will you have?"

You can make a total of 135 wholes by using 675 parts. You can't make more wholes than that, because then you would go over 677 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 677/5. Therefore the answer is 2.

Here is the math to clarify what we explained above:

5 fits fully 135 times into 677.

135 times 5 equals 675.

677 minus 675 = 2 remainder.

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