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To determine whether an equation defines a binary operation on $\mathbb{Q}$, the set of rational numbers, we need to verify the defining property of a binary operation. A binary operation on a set $S$ is a rule that assigns to every ordered pair of elements $a, b \in S$ a unique element $c \in S$. In other words, for any two rational numbers _______ _______ ______ _______ _________ ____ _______ _____ _________.
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