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\frac{2}{3}\times 9
Divide \frac{2}{3} by \frac{1}{9} by multiplying \frac{2}{3} by the reciprocal of \frac{1}{9}.
\frac{2\times 9}{3}
Express \frac{2}{3}\times 9 as a single fraction.
\frac{18}{3}
Multiply 2 and 9 to get 18.
6
Divide 18 by 3 to get 6.