What is the remainder of 337/3?

Here we will explain and find the remainder of the fraction 337/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 337/3.

The fraction 337/3 has a numerator and denominator. The numerator is 337 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (337) 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 337 parts. So the question becomes, "How many wholes can you make with 337 parts and how many leftovers will you have?"

You can make a total of 112 wholes by using 336 parts. You can't make more wholes than that, because then you would go over 337 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 337/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 112 times into 337.

112 times 3 equals 336.

337 minus 336 = 1 remainder.

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