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-\frac{8}{36}-\frac{27}{36}
Least common multiple of 9 and 4 is 36. Convert -\frac{2}{9} and \frac{3}{4} to fractions with denominator 36.
\frac{-8-27}{36}
Since -\frac{8}{36} and \frac{27}{36} have the same denominator, subtract them by subtracting their numerators.
-\frac{35}{36}
Subtract 27 from -8 to get -35.