Evaluate
\frac{5\sqrt{6}}{14}\approx 0.874817765
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\frac{\frac{5}{6}\sqrt{6}\times 3}{7}
Divide \frac{5}{6}\sqrt{6} by \frac{7}{3} by multiplying \frac{5}{6}\sqrt{6} by the reciprocal of \frac{7}{3}.
\frac{\frac{5\times 3}{6}\sqrt{6}}{7}
Express \frac{5}{6}\times 3 as a single fraction.
\frac{\frac{15}{6}\sqrt{6}}{7}
Multiply 5 and 3 to get 15.
\frac{\frac{5}{2}\sqrt{6}}{7}
Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.
\frac{5}{14}\sqrt{6}
Divide \frac{5}{2}\sqrt{6} by 7 to get \frac{5}{14}\sqrt{6}.
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