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3\times \frac{17}{9}
Divide 3 by \frac{9}{17} by multiplying 3 by the reciprocal of \frac{9}{17}.
\frac{3\times 17}{9}
Express 3\times \frac{17}{9} as a single fraction.
\frac{51}{9}
Multiply 3 and 17 to get 51.
\frac{17}{3}
Reduce the fraction \frac{51}{9} to lowest terms by extracting and canceling out 3.