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-\frac{4}{10}-\frac{1}{10}
Least common multiple of 5 and 10 is 10. Convert -\frac{2}{5} and \frac{1}{10} to fractions with denominator 10.
\frac{-4-1}{10}
Since -\frac{4}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{-5}{10}
Subtract 1 from -4 to get -5.
-\frac{1}{2}
Reduce the fraction \frac{-5}{10} to lowest terms by extracting and canceling out 5.