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Completion requirements
Evaluate and simplify \(\frac{14}{33} \div \frac{8}{63}\).
\[\begin{align}
\frac{{14}}{{33}} \div \frac{8}{{63}} &= \frac{{14}}{{33}} \times \frac{{63}}{8} \\
&= \frac{{{\color{red} \cancel {\color{#444}{14}}^7 }}}{{{\color{red} \cancel {\color{#444}{33}}^{11}} }} \times \frac{{{\color{red} \cancel {\color{#444}{63}}^{21} }}}{{{\color{red} \cancel {\color{#444}{8}}^4 }} }\\
&= \frac{7}{{11}} \times \frac{{21}}{4} \\
&= \frac{{147}}{{44}} \\
\end{align}\]
\frac{{14}}{{33}} \div \frac{8}{{63}} &= \frac{{14}}{{33}} \times \frac{{63}}{8} \\
&= \frac{{{\color{red} \cancel {\color{#444}{14}}^7 }}}{{{\color{red} \cancel {\color{#444}{33}}^{11}} }} \times \frac{{{\color{red} \cancel {\color{#444}{63}}^{21} }}}{{{\color{red} \cancel {\color{#444}{8}}^4 }} }\\
&= \frac{7}{{11}} \times \frac{{21}}{4} \\
&= \frac{{147}}{{44}} \\
\end{align}\]