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-\frac{2277}{18}-\frac{20}{18}
Least common multiple of 2 and 9 is 18. Convert -\frac{253}{2} and \frac{10}{9} to fractions with denominator 18.
\frac{-2277-20}{18}
Since -\frac{2277}{18} and \frac{20}{18} have the same denominator, subtract them by subtracting their numerators.
-\frac{2297}{18}
Subtract 20 from -2277 to get -2297.