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-\frac{15}{10}+\frac{26}{10}
Least common multiple of 2 and 5 is 10. Convert -\frac{3}{2} and \frac{13}{5} to fractions with denominator 10.
\frac{-15+26}{10}
Since -\frac{15}{10} and \frac{26}{10} have the same denominator, add them by adding their numerators.
\frac{11}{10}
Add -15 and 26 to get 11.