What is the remainder of 979/3?

Here we will explain and find the remainder of the fraction 979/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 979/3.

The fraction 979/3 has a numerator and denominator. The numerator is 979 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (979) 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 979 parts. So the question becomes, "How many wholes can you make with 979 parts and how many leftovers will you have?"

You can make a total of 326 wholes by using 978 parts. You can't make more wholes than that, because then you would go over 979 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 979/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 326 times into 979.

326 times 3 equals 978.

979 minus 978 = 1 remainder.

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