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\frac{\frac{4}{27}}{2\times 9}
Express \frac{\frac{\frac{4}{27}}{2}}{9} as a single fraction.
\frac{\frac{4}{27}}{18}
Multiply 2 and 9 to get 18.
\frac{4}{27\times 18}
Express \frac{\frac{4}{27}}{18} as a single fraction.
\frac{4}{486}
Multiply 27 and 18 to get 486.
\frac{2}{243}
Reduce the fraction \frac{4}{486} to lowest terms by extracting and canceling out 2.