What is the remainder of 689/10?

Here we will explain and find the remainder of the fraction 689/10.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 689/10.

The fraction 689/10 has a numerator and denominator. The numerator is 689 (above the fraction line) and the denominator is 10 (below the fraction line).

Furthermore, the numerator (689) 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 689 parts. So the question becomes, "How many wholes can you make with 689 parts and how many leftovers will you have?"

You can make a total of 68 wholes by using 680 parts. You can't make more wholes than that, because then you would go over 689 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 689/10. Therefore the answer is 9.

Here is the math to clarify what we explained above:

10 fits fully 68 times into 689.

68 times 10 equals 680.

689 minus 680 = 9 remainder.

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