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