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\frac{2}{5}\times \frac{1}{2}\times \frac{10}{7}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.
\frac{2\times 1}{5\times 2}\times \frac{10}{7}
Multiply \frac{2}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{5}\times \frac{10}{7}
Cancel out 2 in both numerator and denominator.
\frac{1\times 10}{5\times 7}
Multiply \frac{1}{5} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{10}{35}
Do the multiplications in the fraction \frac{1\times 10}{5\times 7}.
\frac{2}{7}
Reduce the fraction \frac{10}{35} to lowest terms by extracting and canceling out 5.