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\frac{2\times 1}{3\times 4}\times \frac{3}{5}
Multiply \frac{2}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{12}\times \frac{3}{5}
Do the multiplications in the fraction \frac{2\times 1}{3\times 4}.
\frac{1}{6}\times \frac{3}{5}
Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.
\frac{1\times 3}{6\times 5}
Multiply \frac{1}{6} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{30}
Do the multiplications in the fraction \frac{1\times 3}{6\times 5}.
\frac{1}{10}
Reduce the fraction \frac{3}{30} to lowest terms by extracting and canceling out 3.