$\displaystyle{ \left( {17 \over 10} + {10 \over 11} \right) : \frac {5} {44} = {17 \over 10} * \frac {44}{5}+ {10 \over 11}* \frac {44}{5} }$ 

 $\displaystyle{ \frac {17*44}{50} + \frac {10*4}{5} = \frac {17*44}{50} + \frac {100*4}{50} }$ 

 $\displaystyle{ \frac {748 + 400}{50} = \frac {1148}{50} = \frac {2296}{100}= 22,96 }$