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6\times \frac{16}{9}
Divide 6 by \frac{9}{16} by multiplying 6 by the reciprocal of \frac{9}{16}.
\frac{6\times 16}{9}
Express 6\times \frac{16}{9} as a single fraction.
\frac{96}{9}
Multiply 6 and 16 to get 96.
\frac{32}{3}
Reduce the fraction \frac{96}{9} to lowest terms by extracting and canceling out 3.