\(a,7,8:2x=\frac{1}{4}:2\frac{2}{3}\)
\(7,8:2x=\frac{3}{32}\)
\(2x=7,8:\frac{3}{32}\)
\(2x=\frac{416}{5}\)
\(x=\frac{416}{5}:2\)
\(x=\frac{208}{5}\)
\(b,0,25x:3=\frac{5}{6}:0,125\)
\(0,25x:3=\frac{20}{3}\)
\(0,25x=\frac{20}{3}\times3\)
\(0,25x=20\)
\(x=20:0,25\)
\(x=80\)
\(a)\)\(7,8\div\left(2x\right)=\frac{1}{4}\div2\frac{2}{3}\)
\(\Rightarrow\)\(7,8\div\left(2x\right)=\frac{1}{4}\div\frac{8}{3}\)
\(\Rightarrow\)\(\frac{78}{10}\div\left(2x\right)=\frac{1}{4}\times\frac{3}{8}\)
\(\frac{39}{5}\div\left(2x\right)=\frac{3}{32}\)
\(\Rightarrow\)\(\left(2x\right)=\frac{39}{5}\div\frac{3}{32}\)
\(\Rightarrow\)\(\left(2x\right)=\frac{39}{5}\div\frac{3}{32}\)
\(\Rightarrow\)\(\left(2x\right)=\frac{39}{5}\times\frac{32}{3}\)
\(\Rightarrow\)\(2x=\frac{416}{5}\)
\(\Rightarrow\)\(x=\frac{416}{5}\div2\)
\(\Rightarrow\)\(x=\frac{416}{10}\)
\(\Rightarrow\)\(x=\frac{208}{5}\)
\(b)\)\(\left(0,25x\right)\div3=\frac{5}{6}\div0,125\)
\(\Rightarrow\)\(\left(0,25x\right)\div3=\frac{5}{6}\div\frac{1}{8}\)
\(\Rightarrow\)\(\left(0,25x\right)\div3=\frac{5}{6}\times8\)
\(\Rightarrow\)\(\left(0,25x\right)\div3=\frac{20}{3}\)
\(\Rightarrow\)\(\left(0,25x\right)=\frac{20}{3}\times3\)
\(\Rightarrow\)\(\left(0,25x\right)=\frac{20}{3}\times3\)
\(\Rightarrow\)\(0,25x=20\)
\(\Rightarrow\)\(x=80\)
