Răspuns:
x=[tex]\frac{1}{27}[/tex]
Explicație pas cu pas:
Transformam fractiile zecimale in fractii ordinare pt a simplifica calculele:
a.) 0,(3)=[tex]\frac{3}{9} =\frac{1}{3}[/tex]
[tex]0,(2)=\frac{2}{9}[/tex]
Proportia devine:
[tex]\frac{\frac{1}{3} }{x} =\frac{2}{\frac{2}{9} } => 2x=\frac{1}{3}*\frac{2}{9}=\frac{2}{27}=> \\2x=\frac{2}{27} => x=\frac{\frac{2}{27} }{2}=\frac{2}{27} *\frac{1}{2}=\frac{1}{27} => \\x=\frac{1}{27}[/tex]
