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\frac{10}{9}\times 3
Divide \frac{10}{9} by \frac{1}{3} by multiplying \frac{10}{9} by the reciprocal of \frac{1}{3}.
\frac{10\times 3}{9}
Express \frac{10}{9}\times 3 as a single fraction.
\frac{30}{9}
Multiply 10 and 3 to get 30.
\frac{10}{3}
Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.