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\frac{2\times 3}{7\times 8}\times \frac{7}{9}
Multiply \frac{2}{7} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{6}{56}\times \frac{7}{9}
Do the multiplications in the fraction \frac{2\times 3}{7\times 8}.
\frac{3}{28}\times \frac{7}{9}
Reduce the fraction \frac{6}{56} to lowest terms by extracting and canceling out 2.
\frac{3\times 7}{28\times 9}
Multiply \frac{3}{28} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{21}{252}
Do the multiplications in the fraction \frac{3\times 7}{28\times 9}.
\frac{1}{12}
Reduce the fraction \frac{21}{252} to lowest terms by extracting and canceling out 21.