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\frac{7}{8}\times \frac{10}{9}
Divide \frac{7}{8} by \frac{9}{10} by multiplying \frac{7}{8} by the reciprocal of \frac{9}{10}.
\frac{7\times 10}{8\times 9}
Multiply \frac{7}{8} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{70}{72}
Do the multiplications in the fraction \frac{7\times 10}{8\times 9}.
\frac{35}{36}
Reduce the fraction \frac{70}{72} to lowest terms by extracting and canceling out 2.