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\frac{3}{8}\times \frac{10}{9}
Divide \frac{3}{8} by \frac{9}{10} by multiplying \frac{3}{8} by the reciprocal of \frac{9}{10}.
\frac{3\times 10}{8\times 9}
Multiply \frac{3}{8} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{30}{72}
Do the multiplications in the fraction \frac{3\times 10}{8\times 9}.
\frac{5}{12}
Reduce the fraction \frac{30}{72} to lowest terms by extracting and canceling out 6.