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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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What is closed and not-closed under addition?
The set of even numbers is closed under addition, the set of odd numbers is not.
Why are odd integers closed under multiplication but not under addition?
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
Are real numbers closed under addition?
yes because real numbers are any number ever made and they can be closed under addition
ARe odd integers not closed under addition?
That is correct, the set is not closed.
Are rational numbers are closed under addition subtraction multiplication and division?
They are closed under all except that division by zero is not defined.
