$-\frac{1}{10}-\frac{1}{100}-\frac{1}{1000}-\frac{1}{10000}-\frac{1}{100000}$

$=-\left( \frac{1}{10}+\frac{1}{100}+\frac{1}{1000}+\frac{1}{10000}+\frac{1}{100000} \right)$

$=-\left( \frac{1}{10}+\frac{1}{{{10}^{2}}}+\frac{1}{{{10}^{3}}}+\frac{1}{{{10}^{4}}}+\frac{1}{{{10}^{5}}} \right)$

$=-\frac{{{10}^{4}}+{{10}^{3}}+{{10}^{2}}+10+1}{{{10}^{5}}}$

$=-\frac{11111}{100000}$

$=-0,11111$