What is the remainder of 949/3?

Here we will explain and find the remainder of the fraction 949/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 949/3.

The fraction 949/3 has a numerator and denominator. The numerator is 949 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (949) 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 949 parts. So the question becomes, "How many wholes can you make with 949 parts and how many leftovers will you have?"

You can make a total of 316 wholes by using 948 parts. You can't make more wholes than that, because then you would go over 949 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 949/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 316 times into 949.

316 times 3 equals 948.

949 minus 948 = 1 remainder.

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