What is the remainder of 38/13?

Here we will explain and find the remainder of the fraction 38/13.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 38/13.

The fraction 38/13 has a numerator and denominator. The numerator is 38 (above the fraction line) and the denominator is 13 (below the fraction line).

Furthermore, the numerator (38) is the part and the denominator (13) is the whole. In other words, to create a whole you need 13 parts. In this case, you have 38 parts. So the question becomes, "How many wholes can you make with 38 parts and how many leftovers will you have?"

You can make a total of 2 wholes by using 26 parts. You can't make more wholes than that, because then you would go over 38 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 38/13. Therefore the answer is 12.

Here is the math to clarify what we explained above:

13 fits fully 2 times into 38.

2 times 13 equals 26.

38 minus 26 = 12 remainder.

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