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\frac{115}{207}-\frac{72}{207}
Least common multiple of 9 and 23 is 207. Convert \frac{5}{9} and \frac{8}{23} to fractions with denominator 207.
\frac{115-72}{207}
Since \frac{115}{207} and \frac{72}{207} have the same denominator, subtract them by subtracting their numerators.
\frac{43}{207}
Subtract 72 from 115 to get 43.