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\frac{2}{3}\times \frac{6}{5}
Divide \frac{2}{3} by \frac{5}{6} by multiplying \frac{2}{3} by the reciprocal of \frac{5}{6}.
\frac{2\times 6}{3\times 5}
Multiply \frac{2}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{12}{15}
Do the multiplications in the fraction \frac{2\times 6}{3\times 5}.
\frac{4}{5}
Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.