What is the remainder of 513/10?

Here we will explain and find the remainder of the fraction 513/10.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 513/10.

The fraction 513/10 has a numerator and denominator. The numerator is 513 (above the fraction line) and the denominator is 10 (below the fraction line).

Furthermore, the numerator (513) is the part and the denominator (10) is the whole. In other words, to create a whole you need 10 parts. In this case, you have 513 parts. So the question becomes, "How many wholes can you make with 513 parts and how many leftovers will you have?"

You can make a total of 51 wholes by using 510 parts. You can't make more wholes than that, because then you would go over 513 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 513/10. Therefore the answer is 3.

Here is the math to clarify what we explained above:

10 fits fully 51 times into 513.

51 times 10 equals 510.

513 minus 510 = 3 remainder.

Remainder of Fraction Calculator
Submit a similar Remainder problem!

What is the remainder of 514/10?
Here is the next fraction on our list that we found the remainder for.