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\frac{27}{36}-\frac{20}{36}
Least common multiple of 4 and 9 is 36. Convert \frac{3}{4} and \frac{5}{9} to fractions with denominator 36.
\frac{27-20}{36}
Since \frac{27}{36} and \frac{20}{36} have the same denominator, subtract them by subtracting their numerators.
\frac{7}{36}
Subtract 20 from 27 to get 7.