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\frac{15}{14}\times \frac{6}{5}
Divide \frac{15}{14} by \frac{5}{6} by multiplying \frac{15}{14} by the reciprocal of \frac{5}{6}.
\frac{15\times 6}{14\times 5}
Multiply \frac{15}{14} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{90}{70}
Do the multiplications in the fraction \frac{15\times 6}{14\times 5}.
\frac{9}{7}
Reduce the fraction \frac{90}{70} to lowest terms by extracting and canceling out 10.