What is the remainder of 89/5?

Here we will explain and find the remainder of the fraction 89/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 89/5.

The fraction 89/5 has a numerator and denominator. The numerator is 89 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (89) is the part and the denominator (5) is the whole. In other words, to create a whole you need 5 parts. In this case, you have 89 parts. So the question becomes, "How many wholes can you make with 89 parts and how many leftovers will you have?"

You can make a total of 17 wholes by using 85 parts. You can't make more wholes than that, because then you would go over 89 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 89/5. Therefore the answer is 4.

Here is the math to clarify what we explained above:

5 fits fully 17 times into 89.

17 times 5 equals 85.

89 minus 85 = 4 remainder.

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