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6\times \frac{2}{5}
Divide 6 by \frac{5}{2} by multiplying 6 by the reciprocal of \frac{5}{2}.
\frac{6\times 2}{5}
Express 6\times \frac{2}{5} as a single fraction.
\frac{12}{5}
Multiply 6 and 2 to get 12.