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9x=\frac{81}{55}\times 11
Multiply both sides by 11.
9x=\frac{81\times 11}{55}
Express \frac{81}{55}\times 11 as a single fraction.
9x=\frac{891}{55}
Multiply 81 and 11 to get 891.
9x=\frac{81}{5}
Reduce the fraction \frac{891}{55} to lowest terms by extracting and canceling out 11.
x=\frac{\frac{81}{5}}{9}
Divide both sides by 9.
x=\frac{81}{5\times 9}
Express \frac{\frac{81}{5}}{9} as a single fraction.
x=\frac{81}{45}
Multiply 5 and 9 to get 45.
x=\frac{9}{5}
Reduce the fraction \frac{81}{45} to lowest terms by extracting and canceling out 9.