What is the remainder of 553/3?

Here we will explain and find the remainder of the fraction 553/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 553/3.

The fraction 553/3 has a numerator and denominator. The numerator is 553 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (553) 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 553 parts. So the question becomes, "How many wholes can you make with 553 parts and how many leftovers will you have?"

You can make a total of 184 wholes by using 552 parts. You can't make more wholes than that, because then you would go over 553 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 553/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 184 times into 553.

184 times 3 equals 552.

553 minus 552 = 1 remainder.

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