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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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Related questions

Yes.

No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.

Yes.

The set of even numbers is closed under addition, the set of odd numbers is not.

Quite simply, they are closed under addition. No "when".

The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.

Yes.

In order to add or subtract fractions, they must have the same denominator.

Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.

yes because real numbers are any number ever made and they can be closed under addition

Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.

Yes they are closed under multiplication, addition, and subtraction.

Yes.

That is correct, the set is not closed.

Yes, the set is closed.

yes

Natural (ℕ), integer (ℤ), rational (ℚ), real (ℝ) and complex (ℂ) numbers are all closed under addition.

Real numbers are closed under addition and subtraction. To get a number outside the real number system you would have to use square root.

No. Take 7/8 + 1/4 for example. This is 9/8 or 1 1/8, which is not less than 1.

negetive integers are not closed under addition but positive integers are.

Yes.

Yes.

no it is not

Yes it is.

Yes.