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For a set to be closed under any operation, the result of the operation must also be a member of the set.

The result of adding fractions is another fraction, thus it is closed under addition.

Remember that 8/3, 8/4, 4/4, 2/1 are all fractions - they have a numerator and denominator separated by a line (at an oblique angle on the computer screen). Improper fractions are still fractions.

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Q: Why are fractions closed under addition?
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