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\frac{2}{3}\times \frac{6}{5}\times \frac{5}{9}
Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.
\frac{2\times 6}{3\times 5}\times \frac{5}{9}
Multiply \frac{2}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{12}{15}\times \frac{5}{9}
Do the multiplications in the fraction \frac{2\times 6}{3\times 5}.
\frac{4}{5}\times \frac{5}{9}
Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.
\frac{4\times 5}{5\times 9}
Multiply \frac{4}{5} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{9}
Cancel out 5 in both numerator and denominator.