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Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.

Q: Is the sum of rational numbers always rational?

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Yes.

It is always rational.

Always true. (Never forget that whole numbers are rational numbers too - use a denominator of 1 yielding an improper fraction of the form of all rational numbers namely a/b.)

Never.

No - the sum of any two rational numbers is still rational:

Related questions

Such a sum is always rational.

They are always rational.

Yes.

It is a rational number.

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

No, it is always true

It is always rational.

It's always another rational number.

The sum of two rational numbers is rational.From there, it follows that the sum of a finite set of rational numbers is also rational.

Yes, the set of rational numbers is closed under addition.

No

It is always an irrational number.