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-\frac{25}{10}+\frac{4}{10}
Least common multiple of 2 and 5 is 10. Convert -\frac{5}{2} and \frac{2}{5} to fractions with denominator 10.
\frac{-25+4}{10}
Since -\frac{25}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.
-\frac{21}{10}
Add -25 and 4 to get -21.