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\(\frac{1}{3}x:\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)
\(\Rightarrow\frac{1}{3}x:\frac{2}{3}=\frac{35}{8}\)
\(\Rightarrow\frac{1}{3}x=\frac{35}{12}\)
\(\Rightarrow x=\frac{35}{4}\)
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) \(3:2\frac{1}{4}=\frac{3}{4}:\left(6\cdot x\right)\)
\(=\frac{4}{3}=\frac{3}{4}:\left(6:x\right)\)
\(\Rightarrow6\cdot x=\frac{3}{4}:\frac{4}{3}\)
\(\Rightarrow x=\frac{9}{16}:6=\frac{3}{32}=0,09375\)
\(\frac{4\frac{1}{3}}{\frac{x}{4}}=\frac{6}{0,3}\)
\(\Rightarrow4\frac{1}{3}.0,3=6.\frac{x}{4}\)
\(\frac{13}{10}=\frac{6x}{4}\)
\(\Rightarrow13.4=6x.10\)
\(52=60.x\)
\(x=\frac{52}{60}=\frac{13}{15}\)
\(3\frac{1}{3}:x=2\frac{1}{2}:4\frac{5}{6}\)
\(\Rightarrow\frac{10}{3}:x=\frac{5}{2}:\frac{29}{6}\)
\(\Rightarrow\frac{10}{3}:x=\frac{15}{29}\)
\(\Rightarrow x=\frac{10}{3}:\frac{15}{29}\)
\(\Rightarrow x=\frac{58}{9}\)
a. => (1/3.x):2/3=7/4:2/5
=> 1/3.x=(7/4.2/3):2/5
=> 1/3.x=7/6.5/2
=> 1/3.x=35/12
=> x=35/12:1/3
=> x=35/12.3
=> x=35/4
b. => 4,5.(0,1.x)=0,3.2,25
=> 4,5.(0,1.x)=0,675
=> 0,1.x=0,675:4,5
=> 0,1.x=0,15
=> x=0,15:0,1
=> x=1,5
c. => 2.(1/4.x)=8.0,02
=> 1/2.x=0,16
=> x=0,16:1/2
=> x=0,16.2
=> x=0,32
d. => 3:9/4=3/4:(6.x)
=> 3.(6.x)=9/4.3/4
=> 18.x=27/16
=> x=27/16:18
=> x=27/16.1/18
=> x=3/32
a) ( 1/3 . x ) : 2/3 = 7/4 : 2/5
1/3 . x : 2/3 = 35/8
1/3 . x = 35/8 . 2/3
1/3 . x = 35/12
x = 35/12 : 1/3
x = 35/4
\(4\frac{1}{3}:\frac{x}{4}=6:0,3\)
\(\Rightarrow\frac{13}{3}:\frac{x}{4}=20\)
\(\Rightarrow\frac{x}{4}=\frac{13}{3}:20\)
\(\Rightarrow\frac{x}{4}=\frac{13}{60}\)
\(\Rightarrow x=\frac{13}{15}\)