A set is said to be closed under an operation if any two elements of the set produce another element of the same set. So, for example, if you add 12+13\frac{1}{2}+\frac{1}{3}, you get 56\frac{5}{6}, which is still a rational number. So you can say the set of rational numbers is closed under addition. Which operations is the set of rational numbers closed under?

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