Division algebraischer Brüche: $\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} : \frac{c}{d} = \frac{ad}{bc}$

Got it !

$\LARGE \frac{a}{b} : \LARGE \frac{b}{a} =$	$\LARGE \frac{a}{b} \cdot \LARGE \frac{a}{b} = \LARGE \frac{a^2}{b^2}$
$\LARGE \frac{a}{6b} : \LARGE \frac{3b}{4} =$	$\LARGE \frac{4a}{18b^2}$
$\LARGE \frac{\LARGE \frac{1}{b}}{\LARGE \frac{b}{3}} =$	$\LARGE \frac{3}{b^2} $
$\LARGE \frac{\LARGE \frac{1}{b}}{\LARGE 2 } =$	$\LARGE \frac{\LARGE \frac{1}{b}}{ \LARGE \frac{2}{1}} = \LARGE \frac{1}{2b} $
$\LARGE \frac{2}{\LARGE \LARGE \frac{1}{b}} =$	$\LARGE \frac{\LARGE \frac{2}{1}}{ \LARGE \frac{1}{b}} = \LARGE \frac{2b}{1}$ = 2b $ $