What is the remainder of 505/4?

Here we will explain and find the remainder of the fraction 505/4.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 505/4.

The fraction 505/4 has a numerator and denominator. The numerator is 505 (above the fraction line) and the denominator is 4 (below the fraction line).

Furthermore, the numerator (505) 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 505 parts. So the question becomes, "How many wholes can you make with 505 parts and how many leftovers will you have?"

You can make a total of 126 wholes by using 504 parts. You can't make more wholes than that, because then you would go over 505 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 505/4. Therefore the answer is 1.

Here is the math to clarify what we explained above:

4 fits fully 126 times into 505.

126 times 4 equals 504.

505 minus 504 = 1 remainder.

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