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\frac{3}{2\times 17}\times \frac{5}{6}
Express \frac{\frac{3}{2}}{17} as a single fraction.
\frac{3}{34}\times \frac{5}{6}
Multiply 2 and 17 to get 34.
\frac{3\times 5}{34\times 6}
Multiply \frac{3}{34} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{15}{204}
Do the multiplications in the fraction \frac{3\times 5}{34\times 6}.
\frac{5}{68}
Reduce the fraction \frac{15}{204} to lowest terms by extracting and canceling out 3.