What is the remainder of 709/3?

Here we will explain and find the remainder of the fraction 709/3.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 709/3.

The fraction 709/3 has a numerator and denominator. The numerator is 709 (above the fraction line) and the denominator is 3 (below the fraction line).

Furthermore, the numerator (709) 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 709 parts. So the question becomes, "How many wholes can you make with 709 parts and how many leftovers will you have?"

You can make a total of 236 wholes by using 708 parts. You can't make more wholes than that, because then you would go over 709 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 709/3. Therefore the answer is 1.

Here is the math to clarify what we explained above:

3 fits fully 236 times into 709.

236 times 3 equals 708.

709 minus 708 = 1 remainder.

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