What is the remainder of 733/5?

Here we will explain and find the remainder of the fraction 733/5.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 733/5.

The fraction 733/5 has a numerator and denominator. The numerator is 733 (above the fraction line) and the denominator is 5 (below the fraction line).

Furthermore, the numerator (733) 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 733 parts. So the question becomes, "How many wholes can you make with 733 parts and how many leftovers will you have?"

You can make a total of 146 wholes by using 730 parts. You can't make more wholes than that, because then you would go over 733 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 733/5. Therefore the answer is 3.

Here is the math to clarify what we explained above:

5 fits fully 146 times into 733.

146 times 5 equals 730.

733 minus 730 = 3 remainder.

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