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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{19}{36}
Subtract 27 from 8 to get -19.