What is the remainder of 926/3?




Here we will explain and find the remainder of the fraction 926/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 926/3.

The fraction 926/3 has a numerator and denominator. The numerator is 926 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (926) 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 926 parts. So the question becomes, "How many wholes can you make with 926 parts and how many leftovers will you have?"

You can make a total of 308 wholes by using 924 parts. You can't make more wholes than that, because then you would go over 926 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 926/3. Therefore the answer is 2.


Here is the math to clarify what we explained above:

3 fits fully 308 times into 926.

308 times 3 equals 924.

926 minus 924 = 2 remainder.

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