What is the remainder of 601/3?

Here we will explain and find the remainder of the fraction 601/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 601/3.

The fraction 601/3 has a numerator and denominator. The numerator is 601 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (601) is the part and the denominator (3) is the whole. In other words, to create a whole you need 3 parts. In this case, you have 601 parts. So the question becomes, "How many wholes can you make with 601 parts and how many leftovers will you have?"

You can make a total of 200 wholes by using 600 parts. You can't make more wholes than that, because then you would go over 601 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 601/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 200 times into 601.

200 times 3 equals 600.

601 minus 600 = 1 remainder.

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