What is the remainder of 840/18?

Here we will explain and find the remainder of the fraction 840/18.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 840/18.

The fraction 840/18 has a numerator and denominator. The numerator is 840 (above the fraction line) and the denominator is 18 (below the fraction line).

Furthermore, the numerator (840) is the part and the denominator (18) is the whole. In other words, to create a whole you need 18 parts. In this case, you have 840 parts. So the question becomes, "How many wholes can you make with 840 parts and how many leftovers will you have?"

You can make a total of 46 wholes by using 828 parts. You can't make more wholes than that, because then you would go over 840 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 840/18. Therefore the answer is 12.

Here is the math to clarify what we explained above:

18 fits fully 46 times into 840.

46 times 18 equals 828.

840 minus 828 = 12 remainder.

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