\[2\frac{1}{20} - 6\frac{9}{40} = \frac{40 + 1}{20} - \frac{240 + 9}{40} =\]
\[= \frac{41^{\backslash 2}}{20} - \frac{249}{40} = \frac{82}{40} - \frac{249}{40} =\]
\[= \frac{82 - 249}{40} = - \frac{167}{40} =\]
\[= - 4\frac{7}{40} = - 4,175\]