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\frac{1}{10}-\left(-\frac{1}{5}\right)
Fraction \frac{1}{-5} can be rewritten as -\frac{1}{5} by extracting the negative sign.
\frac{1}{10}+\frac{1}{5}
The opposite of -\frac{1}{5} is \frac{1}{5}.
\frac{1}{10}+\frac{2}{10}
Least common multiple of 10 and 5 is 10. Convert \frac{1}{10} and \frac{1}{5} to fractions with denominator 10.
\frac{1+2}{10}
Since \frac{1}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.
\frac{3}{10}
Add 1 and 2 to get 3.