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-\frac{15}{10}-\frac{16}{10}
Least common multiple of 2 and 5 is 10. Convert -\frac{3}{2} and \frac{8}{5} to fractions with denominator 10.
\frac{-15-16}{10}
Since -\frac{15}{10} and \frac{16}{10} have the same denominator, subtract them by subtracting their numerators.
-\frac{31}{10}
Subtract 16 from -15 to get -31.