Converting both into improper fractions:
[tex]\begin{gathered} 73\frac{9}{12}\div6\frac{2}{5} \\ \\ \rightarrow\frac{876+9}{12}\div\frac{30+2}{5} \\ \\ \rightarrow\frac{885}{12}\div\frac{32}{5} \end{gathered}[/tex]Simplifying,
[tex]\begin{gathered} \frac{885}{12}\div\frac{32}{5} \\ \\ \rightarrow\frac{295}{4}\div\frac{32}{5} \end{gathered}[/tex]Remember that in order to divide two fractions, we cross-multiply:
[tex]\frac{295}{4}\div\frac{32}{5}\rightarrow\frac{295\cdot5}{32\cdot4}\rightarrow\frac{1475}{128}\rightarrow11.5234\ldots[/tex]Which is about 12
ANSWER: Option C
