Strange Maths*

$$\frac{1}{2}\mapsto 1 \oslash 2 = x \mapsto 2\otimes x=1 : x=3$$ $$\frac{1}{3}\mapsto 1 \oslash 3 = x \mapsto 3\otimes x=1 : x=2$$ $$\frac{2}{3}\mapsto 2 \oslash 3 = x \mapsto 3\otimes x=2 : x=3$$ $$\frac{3}{2}\mapsto 3 \oslash 2 = x \mapsto 2\otimes x=3 : x=2$$ $$\therefore \frac 1 2 = \frac 2 3 \land \frac 1 3 = \frac 3 2$$

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