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\frac{\frac{3}{10}\times \frac{2}{7}}{\frac{2}{9}\times \frac{4}{3}}
Divide \frac{\frac{3}{10}}{\frac{2}{9}} by \frac{\frac{4}{3}}{\frac{2}{7}} by multiplying \frac{\frac{3}{10}}{\frac{2}{9}} by the reciprocal of \frac{\frac{4}{3}}{\frac{2}{7}}.
\frac{\frac{3\times 2}{10\times 7}}{\frac{2}{9}\times \frac{4}{3}}
Multiply \frac{3}{10} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{\frac{6}{70}}{\frac{2}{9}\times \frac{4}{3}}
Do the multiplications in the fraction \frac{3\times 2}{10\times 7}.
\frac{\frac{3}{35}}{\frac{2}{9}\times \frac{4}{3}}
Reduce the fraction \frac{6}{70} to lowest terms by extracting and canceling out 2.
\frac{\frac{3}{35}}{\frac{2\times 4}{9\times 3}}
Multiply \frac{2}{9} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{\frac{3}{35}}{\frac{8}{27}}
Do the multiplications in the fraction \frac{2\times 4}{9\times 3}.
\frac{3}{35}\times \frac{27}{8}
Divide \frac{3}{35} by \frac{8}{27} by multiplying \frac{3}{35} by the reciprocal of \frac{8}{27}.
\frac{3\times 27}{35\times 8}
Multiply \frac{3}{35} times \frac{27}{8} by multiplying numerator times numerator and denominator times denominator.
\frac{81}{280}
Do the multiplications in the fraction \frac{3\times 27}{35\times 8}.