a)\(\left(\frac{1}{3}.x\right):\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)
\(\left(\frac{1}{3}x\right):\frac{2}{3}=\frac{35}{8}\)
\(\left(\frac{1}{3}x\right)=\frac{35}{8}\cdot\frac{2}{3}=\frac{35}{12}\)
\(x=\frac{35}{12}:\frac{1}{3}=\frac{35}{4}\)
b)\(4,5:0,3=2,25:\left(0,1\cdot x\right)\)
\(15=2,25:\left(0,1\cdot x\right)\)
\(\left(0,1\cdot x\right)=2,25:15=0,15\)
\(x=0,15:0,1=1,5\)=\(\frac{3}{2}\)
c)\(8:\left(\frac{1}{4}\cdot x\right)=2:0,02\)
\(8:\left(\frac{1}{4}\cdot x\right)=100\)
\(\frac{1}{4}\cdot x=8:100=0,08\)
\(x=0,08:\frac{1}{4}=0,32\)=\(\frac{8}{25}\)
d)\(3:2\frac{1}{4}=\frac{3}{4}:\left(6x\right)\)
\(\frac{3}{4}:6x=\frac{4}{3}\)
\(6x=\frac{3}{4}:\frac{4}{3}=\frac{9}{16}\)\(x=\frac{9}{16}:6=\frac{3}{32}\)