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\frac{1\times 7}{9\times 8}\times 9
Multiply \frac{1}{9} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{7}{72}\times 9
Do the multiplications in the fraction \frac{1\times 7}{9\times 8}.
\frac{7\times 9}{72}
Express \frac{7}{72}\times 9 as a single fraction.
\frac{63}{72}
Multiply 7 and 9 to get 63.
\frac{7}{8}
Reduce the fraction \frac{63}{72} to lowest terms by extracting and canceling out 9.