The decimal \(0.67\) is a rounded value of \(\displaystyle \frac23\), whose exact decimal is \(0.\overline6\). Rounding can hide a difference.

Using a common denominator, \(\displaystyle \frac23=\frac{200}{300}\) and \(\displaystyle \frac{67}{100}=\frac{201}{300}\). Thus \(\displaystyle \frac{67}{100}\) is larger by \(\displaystyle \frac1{300}\).

Answer

\(\displaystyle \frac{67}{100}\gt \frac23\).