\(\frac{1}{3}x:\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)

\(\Rightarrow\frac{1}{3}x:\frac{2}{3}=\frac{35}{8}\)

\(\Rightarrow\frac{1}{3}x=\frac{35}{12}\)

\(\Rightarrow x=\frac{35}{4}\)

a) \(\left(\frac{1}{3}\cdot x\right):\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)

\(=\left(\frac{1}{3}\cdot x\right):\frac{2}{3}=\frac{35}{8}\)

\(\Rightarrow\frac{1}{3}\cdot x=\frac{35}{8}\cdot\frac{2}{3}\)

\(\Rightarrow x=\frac{35}{12}:\frac{1}{3}=\frac{35}{4}\)

b) \(4,5:0,3=2,5:\left(0,1\cdot x\right)\)

\(=15=2,5:\left(0,1\cdot x\right)\)

\(\Rightarrow0,1\cdot x=2,25:15\)

\(\Rightarrow x=\frac{3}{20}:0,1=\frac{3}{2}=1,5\)

c) \(8:\left(\frac{1}{4}\cdot x\right)=2:0,02\)

\(8:\left(\frac{1}{4}\cdot x\right)=100\)

\(\Rightarrow\frac{1}{4}\cdot x=8:100\)

\(\Rightarrow x=\frac{2}{25}:\frac{1}{4}=\frac{8}{25}=0,32\)

d) \(3:2\frac{1}{4}=\frac{3}{4}:\left(6\cdot x\right)\)

\(=\frac{4}{3}=\frac{3}{4}:\left(6:x\right)\)

\(\Rightarrow6\cdot x=\frac{3}{4}:\frac{4}{3}\)

\(\Rightarrow x=\frac{9}{16}:6=\frac{3}{32}=0,09375\)

\(\frac{4\frac{1}{3}}{\frac{x}{4}}=\frac{6}{0,3}\)

\(\Rightarrow4\frac{1}{3}.0,3=6.\frac{x}{4}\)

\(\frac{13}{10}=\frac{6x}{4}\)

\(\Rightarrow13.4=6x.10\)

\(52=60.x\)

\(x=\frac{52}{60}=\frac{13}{15}\)

arigato 

413 :x4 =60,3 

⇒133 :x4 =20

⇒x4 =133 :20

⇒x4 =1360 

⇒x=1360 .4

⇒x=1315 

<=> 13/3 : x/4 = 20

<=> x/4 = 13/3 : 20 = 13/60

<=> x = 13/60 . 4 = 13/15

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\(3\frac{1}{3}:x=2\frac{1}{2}:4\frac{5}{6}\)

\(\Rightarrow\frac{10}{3}:x=\frac{5}{2}:\frac{29}{6}\)

\(\Rightarrow\frac{10}{3}:x=\frac{15}{29}\)

\(\Rightarrow x=\frac{10}{3}:\frac{15}{29}\)

\(\Rightarrow x=\frac{58}{9}\)

x= \(\frac{45}{2}\)