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\frac{27}{45}-\frac{20}{45}
Least common multiple of 5 and 9 is 45. Convert \frac{3}{5} and \frac{4}{9} to fractions with denominator 45.
\frac{27-20}{45}
Since \frac{27}{45} and \frac{20}{45} have the same denominator, subtract them by subtracting their numerators.
\frac{7}{45}
Subtract 20 from 27 to get 7.