[tex]\displaystyle \frac{3 \frac{2}{3}:1 \frac{1}{2} }{ 2 \frac{4}{9}:4 \frac{5}{3} } = \frac{ \frac{11}{3}:\frac{3}{2} }{ \frac{22}{9} : \frac{17}{3} } = \frac{ \frac{11}{3} \cdot \frac{2}{3} }{ \frac{22}{9} \cdot \frac{3}{17} } = \frac{ \frac{22}{9} }{ \frac{66}{153} } = =\frac{22}{9} : \frac{66}{153} = \\ \\ = \frac{22}{9}\cdot \frac{153}{66} = \frac{3366}{594} = \frac{374}{66} = \frac{17}{3} [/tex]
