What is the remainder of 995/3?

Here we will explain and find the remainder of the fraction 995/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 995/3.

The fraction 995/3 has a numerator and denominator. The numerator is 995 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (995) 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 995 parts. So the question becomes, "How many wholes can you make with 995 parts and how many leftovers will you have?"

You can make a total of 331 wholes by using 993 parts. You can't make more wholes than that, because then you would go over 995 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 995/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 331 times into 995.

331 times 3 equals 993.

995 minus 993 = 2 remainder.

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