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\frac{18+1}{9}+\frac{3\times 9+7}{9}
Multiply 2 and 9 to get 18.
\frac{19}{9}+\frac{3\times 9+7}{9}
Add 18 and 1 to get 19.
\frac{19}{9}+\frac{27+7}{9}
Multiply 3 and 9 to get 27.
\frac{19}{9}+\frac{34}{9}
Add 27 and 7 to get 34.
\frac{19+34}{9}
Since \frac{19}{9} and \frac{34}{9} have the same denominator, add them by adding their numerators.
\frac{53}{9}
Add 19 and 34 to get 53.