What is the remainder of 940/3?

Here we will explain and find the remainder of the fraction 940/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 940/3.

The fraction 940/3 has a numerator and denominator. The numerator is 940 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (940) 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 940 parts. So the question becomes, "How many wholes can you make with 940 parts and how many leftovers will you have?"

You can make a total of 313 wholes by using 939 parts. You can't make more wholes than that, because then you would go over 940 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 940/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 313 times into 940.

313 times 3 equals 939.

940 minus 939 = 1 remainder.

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