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\frac{2\times \frac{1}{50}\times 2}{6}
Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.
\frac{\frac{2}{50}\times 2}{6}
Multiply 2 and \frac{1}{50} to get \frac{2}{50}.
\frac{\frac{1}{25}\times 2}{6}
Reduce the fraction \frac{2}{50} to lowest terms by extracting and canceling out 2.
\frac{\frac{2}{25}}{6}
Multiply \frac{1}{25} and 2 to get \frac{2}{25}.
\frac{2}{25\times 6}
Express \frac{\frac{2}{25}}{6} as a single fraction.
\frac{2}{150}
Multiply 25 and 6 to get 150.
\frac{1}{75}
Reduce the fraction \frac{2}{150} to lowest terms by extracting and canceling out 2.