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10\times \frac{5}{3}
Divide 10 by \frac{3}{5} by multiplying 10 by the reciprocal of \frac{3}{5}.
\frac{10\times 5}{3}
Express 10\times \frac{5}{3} as a single fraction.
\frac{50}{3}
Multiply 10 and 5 to get 50.