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\left(\frac{1}{5}+\frac{1}{10}+\frac{1}{10}\right)^{-1}
Add \frac{1}{10} and \frac{1}{10} to get \frac{1}{5}.
\left(\frac{3}{10}+\frac{1}{10}\right)^{-1}
Add \frac{1}{5} and \frac{1}{10} to get \frac{3}{10}.
\left(\frac{2}{5}\right)^{-1}
Add \frac{3}{10} and \frac{1}{10} to get \frac{2}{5}.
\frac{5}{2}
Calculate \frac{2}{5} to the power of -1 and get \frac{5}{2}.