\(\dfrac{7}{3}-\dfrac{2}{5}:\dfrac{1}{x}=\dfrac{3}{4}\)
\(\dfrac{2}{5}:\dfrac{1}{x}=\dfrac{7}{3}-\dfrac{3}{4}\)
\(\dfrac{2}{5}:\dfrac{1}{x}=\dfrac{19}{12}\)
\(\dfrac{1}{x}=\dfrac{2}{5}:\dfrac{19}{12}\)
\(\dfrac{1}{x}=\dfrac{24}{95}\)
\(\Rightarrow x=\varnothing\)
\(\dfrac{7}{3}-\dfrac{2}{5}:\dfrac{1}{x}=\dfrac{3}{4}\\ \dfrac{2}{5}:\dfrac{1}{x}=\dfrac{7}{3}-\dfrac{3}{4}\\ \dfrac{2}{5}:\dfrac{1}{x}=\dfrac{28}{12}-\dfrac{9}{12}\\ \dfrac{2}{5}:\dfrac{1}{x}=\dfrac{19}{12}\\ \dfrac{1}{x}=\dfrac{2}{5}:\dfrac{19}{12}\\ \dfrac{1}{x}=\dfrac{2}{5}.\dfrac{12}{19}\\ \dfrac{1}{x}=\dfrac{24}{95}\\ \Rightarrow x.24=1.95\\ x.24=95\\ x=95:24\\ x=\dfrac{95}{24}\)
7/3-2/5:1/x=3/4
2/5:1/x=7/3-3/4
2/5:1/x=28/12-9/12
2/5:1/x=19/12
1/x=2/5:19/12
1/x=2/5.12/19
1/x=24/95
1:x=24/95
x=1:24/95x=95/24