Give a rigorous proof using the appropriate axioms and the definition ,[tex]\frac{a}{b}=a\frac{1}{b}[/tex] of the following:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}[/tex]

[tex]\frac{a}{b}:\frac{c}{d} =\frac{ad}{bc}[/tex]

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# Rigorous proof

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