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\frac{2}{5}\times \frac{2}{3}\times \frac{5}{8}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{2\times 2}{5\times 3}\times \frac{5}{8}
Multiply \frac{2}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{15}\times \frac{5}{8}
Do the multiplications in the fraction \frac{2\times 2}{5\times 3}.
\frac{4\times 5}{15\times 8}
Multiply \frac{4}{15} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{20}{120}
Do the multiplications in the fraction \frac{4\times 5}{15\times 8}.
\frac{1}{6}
Reduce the fraction \frac{20}{120} to lowest terms by extracting and canceling out 20.