we know that
[tex] 1 [/tex] ft is equal to [tex] 12 [/tex] in
so
[tex] 9 [/tex] ft is equal to
by proportion
[tex] \frac{1}{12} =\frac{9}{x} \\ \\ x=12*9\\ \\ x=108 [/tex] in
therefore
[tex] 9ft-2\frac{1}{2} in=108 in-2.5 in\\ \\ =105.5 in [/tex]
[tex]105.5 in=105 \frac{1}{2}in[/tex]the answer is
[tex]105 \frac{1}{2}in[/tex]