a, \(\left(\dfrac{1}{3}x\right):\dfrac{2}{3}=\dfrac{13}{4}:\dfrac{2}{5}\)
\(\left(\dfrac{1}{3}x\right).\dfrac{3}{2}=\dfrac{13}{4}.\dfrac{5}{2}\)
\(\dfrac{1}{2}x=\dfrac{65}{8}\Rightarrow x=\dfrac{65}{8}:\dfrac{1}{2}\Rightarrow x=\dfrac{65}{4}\)
b, \(4,5:0,3=2,25:\left(0,1x\right)\)
\(\Rightarrow2,5:\left(0,1x\right)=15\)
\(\Rightarrow0,1x=\dfrac{3}{20}\Rightarrow x=\dfrac{3}{2}\)
c,\(8:\left(\dfrac{1}{4}x\right)=2:0,02\)
\(8:\left(\dfrac{1}{4}x\right)=100\) \(\Rightarrow\dfrac{1}{4}x=\dfrac{8}{100}\Rightarrow x=\dfrac{8}{100}:\dfrac{1}{4}=0,32\)
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a. \(\left(\dfrac{1}{3}.x\right):\dfrac{2}{3}=\dfrac{13}{4}:\dfrac{2}{5}\)
\(\Rightarrow\left(\dfrac{1}{3}x\right):\dfrac{2}{5}=\dfrac{65}{8}\)
\(\Rightarrow\dfrac{1}{3}x=\dfrac{65}{8}.\dfrac{2}{3}=\dfrac{65}{12}\)
\(\Rightarrow x=\dfrac{65}{12}:\dfrac{1}{3}=\dfrac{65}{4}\)
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b. \(4,5:0,3=2,25:\left(0,1.x\right)\)
\(\Leftrightarrow2,25:\left(0,1.x\right)=4,5:0,3\)
\(\Rightarrow0,1x=\dfrac{2,25}{4,5:0,3}\)
\(\Rightarrow0,1.x=0,15\)
\(\Rightarrow x=0,15:0,1=1,5\)
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c. \(8:\left(\dfrac{1}{4}x\right)=2:0,02\)
\(\Rightarrow8:\dfrac{1}{4}x=100\)
\(\Rightarrow\dfrac{1}{4}x=8:100=0,08\)
\(\Rightarrow x=0,08:\dfrac{1}{4}=0,32\)
Vậy....