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\left(1-\frac{2}{3}\right)\times \left(\frac{4}{6}\right)^{2}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{1}{3}\times \left(\frac{4}{6}\right)^{2}
Subtract \frac{2}{3} from 1 to get \frac{1}{3}.
\frac{1}{3}\times \left(\frac{2}{3}\right)^{2}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{1}{3}\times \frac{4}{9}
Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.
\frac{4}{27}
Multiply \frac{1}{3} and \frac{4}{9} to get \frac{4}{27}.