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\frac{36}{45}-\frac{25}{45}
Least common multiple of 5 and 9 is 45. Convert \frac{4}{5} and \frac{5}{9} to fractions with denominator 45.
\frac{36-25}{45}
Since \frac{36}{45} and \frac{25}{45} have the same denominator, subtract them by subtracting their numerators.
\frac{11}{45}
Subtract 25 from 36 to get 11.