What is the remainder of 490/4?

Here we will explain and find the remainder of the fraction 490/4.

We like this exercise, because we think math learners will better understand fractions in general by finding the remainder of fractions such as 490/4.

The fraction 490/4 has a numerator and denominator. The numerator is 490 (above the fraction line) and the denominator is 4 (below the fraction line).

Furthermore, the numerator (490) is the part and the denominator (4) is the whole. In other words, to create a whole you need 4 parts. In this case, you have 490 parts. So the question becomes, "How many wholes can you make with 490 parts and how many leftovers will you have?"

You can make a total of 122 wholes by using 488 parts. You can't make more wholes than that, because then you would go over 490 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 490/4. Therefore the answer is 2.

Here is the math to clarify what we explained above:

4 fits fully 122 times into 490.

122 times 4 equals 488.

490 minus 488 = 2 remainder.

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