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-\frac{27}{72}-\frac{8}{72}
Least common multiple of 8 and 9 is 72. Convert -\frac{3}{8} and \frac{1}{9} to fractions with denominator 72.
\frac{-27-8}{72}
Since -\frac{27}{72} and \frac{8}{72} have the same denominator, subtract them by subtracting their numerators.
-\frac{35}{72}
Subtract 8 from -27 to get -35.