\[\boxed{\mathbf{769\ (769)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \frac{9}{4} = \frac{8 + 1}{4} = \frac{8}{4} + \frac{1}{4} = 2 + \frac{1}{4} =\]
\[= 2\frac{1}{4}\]
\[2)\ \frac{16}{7} = \frac{14 + 2}{7} = \frac{14}{7} + \frac{2}{7} =\]
\[= 2 + \frac{2}{7} = 2\frac{2}{7}\]
\[3)\ \frac{29}{8} = \frac{24 + 5}{8} = \frac{24}{8} + \frac{5}{8} =\]
\[= 3 + \frac{5}{8} = 3\frac{5}{8}\]
\[4)\ \frac{55}{9} = \frac{54 + 1}{9} = \frac{54}{9} + \frac{1}{9} =\]
\[= 6 + \frac{1}{9} = 6\frac{1}{9}\]
\[5)\ \frac{83}{24} = \frac{72 + 11}{24} = \frac{72}{24} + \frac{11}{24} =\]
\[= 3 + \frac{11}{24} = 3\frac{11}{24}\]
\[6)\ \frac{96}{19} = \frac{95 + 1}{19} = \frac{95}{19} + \frac{1}{19} =\]
\[= 5 + \frac{1}{19} = 5\frac{1}{19}\]