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81\times \frac{44\times 9+4}{9\times 100}
Express \frac{\frac{44\times 9+4}{9}}{100} as a single fraction.
81\times \frac{396+4}{9\times 100}
Multiply 44 and 9 to get 396.
81\times \frac{400}{9\times 100}
Add 396 and 4 to get 400.
81\times \frac{400}{900}
Multiply 9 and 100 to get 900.
81\times \frac{4}{9}
Reduce the fraction \frac{400}{900} to lowest terms by extracting and canceling out 100.
\frac{81\times 4}{9}
Express 81\times \frac{4}{9} as a single fraction.
\frac{324}{9}
Multiply 81 and 4 to get 324.
36
Divide 324 by 9 to get 36.