What is the remainder of 486/4?

Here we will explain and find the remainder of the fraction 486/4.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 486/4.

The fraction 486/4 has a numerator and denominator. The numerator is 486 (above the fraction line) and the denominator is 4 (below the fraction line).

Furthermore, the numerator (486) is the part and the denominator (4) is the whole. In other words, to create a whole you need 4 parts. In this case, you have 486 parts. So the question becomes, "How many wholes can you make with 486 parts and how many leftovers will you have?"

You can make a total of 121 wholes by using 484 parts. You can't make more wholes than that, because then you would go over 486 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 486/4. Therefore the answer is 2.

Here is the math to clarify what we explained above:

4 fits fully 121 times into 486.

121 times 4 equals 484.

486 minus 484 = 2 remainder.

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