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