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\frac{35}{45}-\frac{27}{45}
Least common multiple of 9 and 5 is 45. Convert \frac{7}{9} and \frac{3}{5} to fractions with denominator 45.
\frac{35-27}{45}
Since \frac{35}{45} and \frac{27}{45} have the same denominator, subtract them by subtracting their numerators.
\frac{8}{45}
Subtract 27 from 35 to get 8.