What is the remainder of 952/3?

Here we will explain and find the remainder of the fraction 952/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 952/3.

The fraction 952/3 has a numerator and denominator. The numerator is 952 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (952) 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 952 parts. So the question becomes, "How many wholes can you make with 952 parts and how many leftovers will you have?"

You can make a total of 317 wholes by using 951 parts. You can't make more wholes than that, because then you would go over 952 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 952/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 317 times into 952.

317 times 3 equals 951.

952 minus 951 = 1 remainder.

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