\[9\frac{7^{\backslash 2}}{9} - 4\frac{5^{\backslash 3}}{6} = 9\frac{14}{18} - 4\frac{15}{18} =\]
\[= 8\frac{32}{18} - 4\frac{15}{18} = 4\frac{17}{18}\]