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\frac{270}{\frac{26}{\frac{2}{6}}}
Multiply 54 and 5 to get 270.
\frac{270}{\frac{26\times 6}{2}}
Divide 26 by \frac{2}{6} by multiplying 26 by the reciprocal of \frac{2}{6}.
\frac{270}{\frac{156}{2}}
Multiply 26 and 6 to get 156.
\frac{270}{78}
Divide 156 by 2 to get 78.
\frac{45}{13}
Reduce the fraction \frac{270}{78} to lowest terms by extracting and canceling out 6.