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-\frac{1}{10}+\frac{-1}{2}
Fraction \frac{-1}{10} can be rewritten as -\frac{1}{10} by extracting the negative sign.
-\frac{1}{10}-\frac{1}{2}
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.
-\frac{1}{10}-\frac{5}{10}
Least common multiple of 10 and 2 is 10. Convert -\frac{1}{10} and \frac{1}{2} to fractions with denominator 10.
\frac{-1-5}{10}
Since -\frac{1}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{-6}{10}
Subtract 5 from -1 to get -6.
-\frac{3}{5}
Reduce the fraction \frac{-6}{10} to lowest terms by extracting and canceling out 2.