\[2\frac{1}{13}\ :1\frac{19}{26} = \frac{27}{13}\ :\frac{45}{26} = \frac{27 \cdot 26}{13 \cdot 45} =\]
\[= \frac{3 \cdot 2}{5} = \frac{6}{5} = 1,2.\]