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\frac{9\times 9}{13}+\frac{\frac{9}{13}}{9}
Express 9\times \frac{9}{13} as a single fraction.
\frac{81}{13}+\frac{\frac{9}{13}}{9}
Multiply 9 and 9 to get 81.
\frac{81}{13}+\frac{9}{13\times 9}
Express \frac{\frac{9}{13}}{9} as a single fraction.
\frac{81}{13}+\frac{1}{13}
Cancel out 9 in both numerator and denominator.
\frac{81+1}{13}
Since \frac{81}{13} and \frac{1}{13} have the same denominator, add them by adding their numerators.
\frac{82}{13}
Add 81 and 1 to get 82.