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-\frac{5}{9}-\frac{3}{9}
Least common multiple of 9 and 3 is 9. Convert -\frac{5}{9} and \frac{1}{3} to fractions with denominator 9.
\frac{-5-3}{9}
Since -\frac{5}{9} and \frac{3}{9} have the same denominator, subtract them by subtracting their numerators.
-\frac{8}{9}
Subtract 3 from -5 to get -8.