\[4\frac{6}{11}\ :1\frac{3}{22} = \frac{50}{11}\ :\frac{25}{22} = \frac{50}{11} \cdot \frac{22}{25} =\]
\[= \frac{2 \cdot 25 \cdot 11 \cdot 2}{11 \cdot 25} = 4\]