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\frac{2\times 1}{3\times 2}\times \frac{3}{4}\times \frac{5}{6}
Multiply \frac{2}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{3}\times \frac{3}{4}\times \frac{5}{6}
Cancel out 2 in both numerator and denominator.
\frac{1\times 3}{3\times 4}\times \frac{5}{6}
Multiply \frac{1}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{4}\times \frac{5}{6}
Cancel out 3 in both numerator and denominator.
\frac{1\times 5}{4\times 6}
Multiply \frac{1}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{24}
Do the multiplications in the fraction \frac{1\times 5}{4\times 6}.