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\frac{3\times 4}{4\times 5}\times \frac{5}{6}
Multiply \frac{3}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{5}\times \frac{5}{6}
Cancel out 4 in both numerator and denominator.
\frac{3\times 5}{5\times 6}
Multiply \frac{3}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{6}
Cancel out 5 in both numerator and denominator.
\frac{1}{2}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.