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\frac{17}{6}\times \frac{8}{7}
Divide \frac{17}{6} by \frac{7}{8} by multiplying \frac{17}{6} by the reciprocal of \frac{7}{8}.
\frac{17\times 8}{6\times 7}
Multiply \frac{17}{6} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{136}{42}
Do the multiplications in the fraction \frac{17\times 8}{6\times 7}.
\frac{68}{21}
Reduce the fraction \frac{136}{42} to lowest terms by extracting and canceling out 2.