What is the remainder of 673/5?

Here we will explain and find the remainder of the fraction 673/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 673/5.

The fraction 673/5 has a numerator and denominator. The numerator is 673 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (673) 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 673 parts. So the question becomes, "How many wholes can you make with 673 parts and how many leftovers will you have?"

You can make a total of 134 wholes by using 670 parts. You can't make more wholes than that, because then you would go over 673 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 673/5. Therefore the answer is 3.

Here is the math to clarify what we explained above:

5 fits fully 134 times into 673.

134 times 5 equals 670.

673 minus 670 = 3 remainder.

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