Respuesta :

x = 0.3333...

(multiply both sides by 10)

10x = 3.3333...

10x - x = 3.333... - 0.333...

9x = 3

x = 3/9 = 1/3

therefore, 0.3(3 bar) = 1/3

Answer and Step-by-step explanation:

[tex]Let~``x"~be:[/tex]

[tex]0.3333[/tex]

[tex]Now,multiply~both~sides~by~10:[/tex]

[tex]10x=3.3333-0.333[/tex]

[tex]Which~leaves~us~with:[/tex]

[tex]9x=3[/tex]

[tex]Now,Divide:[/tex]

[tex]\frac{3}{9}=\frac{1}{3}[/tex]

[tex]Thus, 0.3(3 bar) = 1/3[/tex]

Q&A Education