\(3:2\dfrac{1}{4}=\dfrac{3}{4}:\left(6x\right)\)
\(\Leftrightarrow\dfrac{3}{4}:\left(6x\right)=3:2\dfrac{1}{4}\)
\(\Rightarrow\dfrac{3}{4}:\left(6x\right)=\dfrac{4}{3}\)
\(\Rightarrow6x=\dfrac{3}{4}:\dfrac{4}{3}=\dfrac{9}{16}\)
\(\Rightarrow x=\dfrac{9}{16}:6=\dfrac{3}{32}\)
Vậy.............
3 : 9/4 = 3/4 : 6x
3. 4/9 = 3/4 : 6 : x
4/3 = 1/8 : x
x = 1/8 : 4/3 = 3/32