What is the remainder of 413/3?

Here we will explain and find the remainder of the fraction 413/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 413/3.

The fraction 413/3 has a numerator and denominator. The numerator is 413 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (413) 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 413 parts. So the question becomes, "How many wholes can you make with 413 parts and how many leftovers will you have?"

You can make a total of 137 wholes by using 411 parts. You can't make more wholes than that, because then you would go over 413 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 413/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 137 times into 413.

137 times 3 equals 411.

413 minus 411 = 2 remainder.

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