\(a.\left(\frac{1}{3}x\right):\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)
\(\left(\frac{1}{3}x\right):\frac{2}{3}=\frac{35}{8}\)
\(\left(\frac{1}{3}x\right)=\frac{35}{8}:\frac{2}{3}\)
\(\left(\frac{1}{3}x\right)=\frac{35}{12}\)
\(x=\frac{35}{12}:\frac{1}{3}\)
\(x=\frac{35}{4}\)
\(b.4,5:0,3=2,25:\left(0,1.x\right)\)
\(\frac{9}{2}:\frac{3}{10}=\frac{9}{4}:\left(\frac{1}{10}x\right)\)
\(15=\frac{9}{4}:\left(\frac{1}{10}x\right)\)
\(\frac{1}{10}x=\frac{9}{4}:15\)
\(\frac{1}{10}x=\frac{3}{20}\)
\(x=\frac{3}{20}:\frac{1}{10}\)
\(x=\frac{3}{2}\)
\(c.8:\left(\frac{1}{4}x\right)=2:0,02\)
\(8:\left(\frac{1}{4}x\right)=2:\frac{2}{100}\)
\(8:\left(\frac{1}{4}x\right)=100\)
\(\frac{1}{4}x=8:100\)
\(\frac{1}{4}x=\frac{2}{25}\)
\(x=\frac{2}{25}:\frac{1}{4}\)
\(x=\frac{8}{25}\)
\(d.3:2\frac{1}{4}=\frac{3}{4}:\left(6.x\right)\)
\(\frac{27}{4}=\frac{3}{4}:\left(6.x\right)\)
\(6x=\frac{3}{4}:\frac{27}{4}\)
\(6x=\frac{1}{9}\)
\(x=\frac{1}{9}:6\)
\(x=\frac{1}{54}\)
