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-\frac{25}{10}-\frac{18}{10}
Least common multiple of 2 and 5 is 10. Convert -\frac{5}{2} and \frac{9}{5} to fractions with denominator 10.
\frac{-25-18}{10}
Since -\frac{25}{10} and \frac{18}{10} have the same denominator, subtract them by subtracting their numerators.
-\frac{43}{10}
Subtract 18 from -25 to get -43.