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-\frac{6}{10}-\frac{3}{10}
Least common multiple of 5 and 10 is 10. Convert -\frac{3}{5} and \frac{3}{10} to fractions with denominator 10.
\frac{-6-3}{10}
Since -\frac{6}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.
-\frac{9}{10}
Subtract 3 from -6 to get -9.