\[\frac{1,17}{1\frac{4}{5}} = 1,17\ :1\frac{4}{5} = \frac{117}{100}\ :\frac{9}{5} = \frac{117}{100} \cdot \frac{5}{9} =\]
\[= \frac{13 \cdot 9 \cdot 5}{20 \cdot 5 \cdot 9} = \frac{13}{20}\]