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209.4\times \frac{5}{9}
Divide 209.4 by \frac{9}{5} by multiplying 209.4 by the reciprocal of \frac{9}{5}.
\frac{1047}{5}\times \frac{5}{9}
Convert decimal number 209.4 to fraction \frac{2094}{10}. Reduce the fraction \frac{2094}{10} to lowest terms by extracting and canceling out 2.
\frac{1047\times 5}{5\times 9}
Multiply \frac{1047}{5} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{1047}{9}
Cancel out 5 in both numerator and denominator.
\frac{349}{3}
Reduce the fraction \frac{1047}{9} to lowest terms by extracting and canceling out 3.