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2\times \frac{3}{7}\times \frac{2}{4}
Divide 6 by 3 to get 2.
\frac{2\times 3}{7}\times \frac{2}{4}
Express 2\times \frac{3}{7} as a single fraction.
\frac{6}{7}\times \frac{2}{4}
Multiply 2 and 3 to get 6.
\frac{6}{7}\times \frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{6\times 1}{7\times 2}
Multiply \frac{6}{7} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{6}{14}
Do the multiplications in the fraction \frac{6\times 1}{7\times 2}.
\frac{3}{7}
Reduce the fraction \frac{6}{14} to lowest terms by extracting and canceling out 2.