What is the remainder of 746/3?

Here we will explain and find the remainder of the fraction 746/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 746/3.

The fraction 746/3 has a numerator and denominator. The numerator is 746 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (746) is the part and the denominator (3) is the whole. In other words, to create a whole you need 3 parts. In this case, you have 746 parts. So the question becomes, "How many wholes can you make with 746 parts and how many leftovers will you have?"

You can make a total of 248 wholes by using 744 parts. You can't make more wholes than that, because then you would go over 746 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 746/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 248 times into 746.

248 times 3 equals 744.

746 minus 744 = 2 remainder.

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