\[10\frac{11^{\backslash 2}}{24} - x = 6\frac{7^{\backslash 3}}{16}\]
\[x = 10\frac{11 \cdot 2}{48} - 6\frac{7 \cdot 3}{48}\]
\[x = 10\frac{22}{48} - 6\frac{21}{48}\]
\[x = 4\frac{1}{48}.\]