What is the remainder of 693/5?

Here we will explain and find the remainder of the fraction 693/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 693/5.

The fraction 693/5 has a numerator and denominator. The numerator is 693 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (693) 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 693 parts. So the question becomes, "How many wholes can you make with 693 parts and how many leftovers will you have?"

You can make a total of 138 wholes by using 690 parts. You can't make more wholes than that, because then you would go over 693 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 693/5. Therefore the answer is 3.

Here is the math to clarify what we explained above:

5 fits fully 138 times into 693.

138 times 5 equals 690.

693 minus 690 = 3 remainder.

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