What is the remainder of 739/3?

Here we will explain and find the remainder of the fraction 739/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 739/3.

The fraction 739/3 has a numerator and denominator. The numerator is 739 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (739) 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 739 parts. So the question becomes, "How many wholes can you make with 739 parts and how many leftovers will you have?"

You can make a total of 246 wholes by using 738 parts. You can't make more wholes than that, because then you would go over 739 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 739/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 246 times into 739.

246 times 3 equals 738.

739 minus 738 = 1 remainder.

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