It seems to me that the statement is true and I thought about prooving it by showing that if you take any rational number of form $\frac{a}{b}$ you can cross multiply it with $\frac{3m}{7n}$ and get $7an=3bm$ you can always find a solution to the expression and it means that $\mathbb{Q}$ is a subset of the group. However I struggle to formalize my proof.
2026-04-11 12:35:54.1775910954
Proof that $\mathbb{Q} \subseteq \{\frac{3m}{7n}\| m\in\mathbb{Z},n\in \mathbb{N}\}$
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