What is the remainder of 609/10?

Here we will explain and find the remainder of the fraction 609/10.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 609/10.

The fraction 609/10 has a numerator and denominator. The numerator is 609 (above the fraction line) and the denominator is 10 (below the fraction line).

Furthermore, the numerator (609) 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 609 parts. So the question becomes, "How many wholes can you make with 609 parts and how many leftovers will you have?"

You can make a total of 60 wholes by using 600 parts. You can't make more wholes than that, because then you would go over 609 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 609/10. Therefore the answer is 9.

Here is the math to clarify what we explained above:

10 fits fully 60 times into 609.

60 times 10 equals 600.

609 minus 600 = 9 remainder.

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