What is the remainder of 253/5?

Here we will explain and find the remainder of the fraction 253/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 253/5.

The fraction 253/5 has a numerator and denominator. The numerator is 253 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (253) is the part and the denominator (5) is the whole. In other words, to create a whole you need 5 parts. In this case, you have 253 parts. So the question becomes, "How many wholes can you make with 253 parts and how many leftovers will you have?"

You can make a total of 50 wholes by using 250 parts. You can't make more wholes than that, because then you would go over 253 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 253/5. Therefore the answer is 3.

Here is the math to clarify what we explained above:

5 fits fully 50 times into 253.

50 times 5 equals 250.

253 minus 250 = 3 remainder.

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