What is the remainder of 503/3?

Here we will explain and find the remainder of the fraction 503/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 503/3.

The fraction 503/3 has a numerator and denominator. The numerator is 503 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (503) 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 503 parts. So the question becomes, "How many wholes can you make with 503 parts and how many leftovers will you have?"

You can make a total of 167 wholes by using 501 parts. You can't make more wholes than that, because then you would go over 503 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 503/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 167 times into 503.

167 times 3 equals 501.

503 minus 501 = 2 remainder.

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