What is the remainder of 349/3?

Here we will explain and find the remainder of the fraction 349/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 349/3.

The fraction 349/3 has a numerator and denominator. The numerator is 349 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (349) 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 349 parts. So the question becomes, "How many wholes can you make with 349 parts and how many leftovers will you have?"

You can make a total of 116 wholes by using 348 parts. You can't make more wholes than that, because then you would go over 349 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 349/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 116 times into 349.

116 times 3 equals 348.

349 minus 348 = 1 remainder.

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