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\frac{5}{3}\times 6
Divide \frac{5}{3} by \frac{1}{6} by multiplying \frac{5}{3} by the reciprocal of \frac{1}{6}.
\frac{5\times 6}{3}
Express \frac{5}{3}\times 6 as a single fraction.
\frac{30}{3}
Multiply 5 and 6 to get 30.
10
Divide 30 by 3 to get 10.