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\frac{32}{36}-\frac{27}{36}
Least common multiple of 9 and 4 is 36. Convert \frac{8}{9} and \frac{3}{4} to fractions with denominator 36.
\frac{32-27}{36}
Since \frac{32}{36} and \frac{27}{36} have the same denominator, subtract them by subtracting their numerators.
\frac{5}{36}
Subtract 27 from 32 to get 5.