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\frac{6.7\times \frac{\frac{7}{3}}{2-\frac{1}{5}}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}
Add 2 and \frac{1}{3} to get \frac{7}{3}.
\frac{6.7\times \frac{\frac{7}{3}}{\frac{9}{5}}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}
Subtract \frac{1}{5} from 2 to get \frac{9}{5}.
\frac{6.7\times \frac{7}{3}\times \frac{5}{9}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}
Divide \frac{7}{3} by \frac{9}{5} by multiplying \frac{7}{3} by the reciprocal of \frac{9}{5}.
\frac{6.7\times \frac{35}{27}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}
Multiply \frac{7}{3} and \frac{5}{9} to get \frac{35}{27}.
\frac{\frac{469}{54}}{\frac{1}{5}}+\left(\frac{1}{3}\right)^{-1}
Multiply 6.7 and \frac{35}{27} to get \frac{469}{54}.
\frac{469}{54}\times 5+\left(\frac{1}{3}\right)^{-1}
Divide \frac{469}{54} by \frac{1}{5} by multiplying \frac{469}{54} by the reciprocal of \frac{1}{5}.
\frac{2345}{54}+\left(\frac{1}{3}\right)^{-1}
Multiply \frac{469}{54} and 5 to get \frac{2345}{54}.
\frac{2345}{54}+3
Calculate \frac{1}{3} to the power of -1 and get 3.
\frac{2507}{54}
Add \frac{2345}{54} and 3 to get \frac{2507}{54}.