What is the remainder of 961/3?

Here we will explain and find the remainder of the fraction 961/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 961/3.

The fraction 961/3 has a numerator and denominator. The numerator is 961 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (961) 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 961 parts. So the question becomes, "How many wholes can you make with 961 parts and how many leftovers will you have?"

You can make a total of 320 wholes by using 960 parts. You can't make more wholes than that, because then you would go over 961 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 961/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 320 times into 961.

320 times 3 equals 960.

961 minus 960 = 1 remainder.

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