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6\times \frac{3}{5}
Divide 6 by \frac{5}{3} by multiplying 6 by the reciprocal of \frac{5}{3}.
\frac{6\times 3}{5}
Express 6\times \frac{3}{5} as a single fraction.
\frac{18}{5}
Multiply 6 and 3 to get 18.