`2/5 xx 1/2 : 1/3`
`= 2/10 xx 3`
`= 6/10`
`= 3/5`
`---`
`2/9 : 2/3 xx 1/2`
`= 2/9 xx 3/2 xx 1/2`
`= 6/18 xx 1/2`
`= 1/3 xx 1/2`
`=1/6`
\(\dfrac{2}{5}.\dfrac{1}{2}:\dfrac{1}{3}=\dfrac{2}{10}:\dfrac{1}{3}=\dfrac{6}{10}=\dfrac{3}{5}\\ \dfrac{2}{9}:\dfrac{2}{3}\times\dfrac{1}{2}=\dfrac{1}{3}\times\dfrac{1}{2}=\dfrac{1}{6}\)
\(\dfrac{2}{5}\times\dfrac{1}{2}\div\dfrac{1}{3}=\dfrac{1}{5}\div\dfrac{1}{3}=\dfrac{3}{5}\)
`----`
\(\dfrac{2}{9}\div\dfrac{2}{3}\times\dfrac{1}{2}=\dfrac{1}{3}\times\dfrac{1}{2}=\dfrac{1}{6}\)