Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[\frac{8}{\frac{9}{\frac{9}{6}}}\]
Simplify \(\frac{9}{6}\) to \(\frac{9}{6}\).
\[\frac{8}{\frac{9}{\frac{9}{6}}}\]
Simplify \(\frac{9}{6}\) to \(\frac{3}{2}\).
\[\frac{8}{\frac{9}{\frac{3}{2}}}\]
Invert and multiply.
\[\frac{8}{(9\times \frac{2}{3})}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{8}{\frac{9\times 2}{3}}\]
Simplify \(9\times 2\) to \(18\).
\[\frac{8}{\frac{18}{3}}\]
Simplify \(\frac{18}{3}\) to \(6\).
\[\frac{8}{6}\]
Simplify.
\[\frac{8}{6{}^{2}}\]
8/(6*^2)