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\frac{9+2}{9}-\frac{3\times 3+1}{3}
Multiply 1 and 9 to get 9.
\frac{11}{9}-\frac{3\times 3+1}{3}
Add 9 and 2 to get 11.
\frac{11}{9}-\frac{9+1}{3}
Multiply 3 and 3 to get 9.
\frac{11}{9}-\frac{10}{3}
Add 9 and 1 to get 10.
\frac{11}{9}-\frac{30}{9}
Least common multiple of 9 and 3 is 9. Convert \frac{11}{9} and \frac{10}{3} to fractions with denominator 9.
\frac{11-30}{9}
Since \frac{11}{9} and \frac{30}{9} have the same denominator, subtract them by subtracting their numerators.
-\frac{19}{9}
Subtract 30 from 11 to get -19.