What is the remainder of 421/4?

Here we will explain and find the remainder of the fraction 421/4.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 421/4.

The fraction 421/4 has a numerator and denominator. The numerator is 421 (above the fraction line) and the denominator is 4 (below the fraction line).

Furthermore, the numerator (421) 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 421 parts. So the question becomes, "How many wholes can you make with 421 parts and how many leftovers will you have?"

You can make a total of 105 wholes by using 420 parts. You can't make more wholes than that, because then you would go over 421 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 421/4. Therefore the answer is 1.

Here is the math to clarify what we explained above:

4 fits fully 105 times into 421.

105 times 4 equals 420.

421 minus 420 = 1 remainder.

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