`(3/4.x):1/2=4/5`
`3/4x = 4/5 . 1/2`
`3/4x = 2/5`
`x=2/5:3/4`
`x=2/5 . 4/3`
`x=8/15`
\(\dfrac{3}{4}x=\dfrac{4}{5}.\dfrac{1}{2}\\ \dfrac{3}{4}x=\dfrac{2}{5}\\ x=\dfrac{2}{5}:\dfrac{3}{4}\\ x=\dfrac{8}{15}\)
\(\dfrac{3}{4}x:\dfrac{1}{2}=\dfrac{4}{5}\)
\(\Rightarrow\dfrac{3}{4}x=\dfrac{4}{5}.\dfrac{1}{2}\)
\(\Rightarrow\dfrac{3}{4}x=\dfrac{4}{10}\)
\(\Rightarrow x=\dfrac{4}{10}:\dfrac{3}{4}\)
\(\Rightarrow x=\dfrac{8}{15}\)
\(\left(\dfrac{3}{4}\cdot x\right):\dfrac{1}{2}=\dfrac{4}{5}\)
\(\dfrac{3}{4}\cdot x=\dfrac{4}{5}\cdot\dfrac{1}{2}\)
\(\dfrac{3}{4}\cdot x=\dfrac{2}{5}\)
\(x=\dfrac{2}{5}:\dfrac{3}{4}\)
\(x=\dfrac{8}{15}\)