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\frac{3}{4}\times \frac{5}{6}
Divide \frac{3}{4} by \frac{6}{5} by multiplying \frac{3}{4} by the reciprocal of \frac{6}{5}.
\frac{3\times 5}{4\times 6}
Multiply \frac{3}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{15}{24}
Do the multiplications in the fraction \frac{3\times 5}{4\times 6}.
\frac{5}{8}
Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.