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-\frac{459}{99}-\frac{275}{99}
Least common multiple of 11 and 9 is 99. Convert -\frac{51}{11} and \frac{25}{9} to fractions with denominator 99.
\frac{-459-275}{99}
Since -\frac{459}{99} and \frac{275}{99} have the same denominator, subtract them by subtracting their numerators.
-\frac{734}{99}
Subtract 275 from -459 to get -734.