What is the remainder of 164/11?

Here we will explain and find the remainder of the fraction 164/11.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 164/11.

The fraction 164/11 has a numerator and denominator. The numerator is 164 (above the fraction line) and the denominator is 11 (below the fraction line).

Furthermore, the numerator (164) is the part and the denominator (11) is the whole. In other words, to create a whole you need 11 parts. In this case, you have 164 parts. So the question becomes, "How many wholes can you make with 164 parts and how many leftovers will you have?"

You can make a total of 14 wholes by using 154 parts. You can't make more wholes than that, because then you would go over 164 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 164/11. Therefore the answer is 10.

Here is the math to clarify what we explained above:

11 fits fully 14 times into 164.

14 times 11 equals 154.

164 minus 154 = 10 remainder.

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