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\frac{5}{9}\times 3
Divide 6 by 2 to get 3.
\frac{5\times 3}{9}
Express \frac{5}{9}\times 3 as a single fraction.
\frac{15}{9}
Multiply 5 and 3 to get 15.
\frac{5}{3}
Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.