What is the remainder of 740/3?

Here we will explain and find the remainder of the fraction 740/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 740/3.

The fraction 740/3 has a numerator and denominator. The numerator is 740 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (740) 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 740 parts. So the question becomes, "How many wholes can you make with 740 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 740 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 740/3. Therefore the answer is 2.

Here is the math to clarify what we explained above:

3 fits fully 246 times into 740.

246 times 3 equals 738.

740 minus 738 = 2 remainder.

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