What is the remainder of 763/10?




Here we will explain and find the remainder of the fraction 763/10.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 763/10.

The fraction 763/10 has a numerator and denominator. The numerator is 763 (above the fraction line) and the denominator is 10 (below the fraction line).

Furthermore, the numerator (763) is the part and the denominator (10) is the whole. In other words, to create a whole you need 10 parts. In this case, you have 763 parts. So the question becomes, "How many wholes can you make with 763 parts and how many leftovers will you have?"

You can make a total of 76 wholes by using 760 parts. You can't make more wholes than that, because then you would go over 763 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 763/10. Therefore the answer is 3.


Here is the math to clarify what we explained above:

10 fits fully 76 times into 763.

76 times 10 equals 760.

763 minus 760 = 3 remainder.

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