\[9\frac{7}{34} - 1\frac{29}{102} =\]
\[= 8\frac{41^{\backslash 3}}{34} - 1\frac{29}{102} =\]
\[= 8\frac{123}{102} - 1\frac{29}{102} = 7\frac{94}{102} = 7\frac{47}{51}\]