What is the remainder of 463/4?

Here we will explain and find the remainder of the fraction 463/4.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 463/4.

The fraction 463/4 has a numerator and denominator. The numerator is 463 (above the fraction line) and the denominator is 4 (below the fraction line).

Furthermore, the numerator (463) 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 463 parts. So the question becomes, "How many wholes can you make with 463 parts and how many leftovers will you have?"

You can make a total of 115 wholes by using 460 parts. You can't make more wholes than that, because then you would go over 463 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 463/4. Therefore the answer is 3.

Here is the math to clarify what we explained above:

4 fits fully 115 times into 463.

115 times 4 equals 460.

463 minus 460 = 3 remainder.

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