Respuesta :

dalendrk
x = 0.2666...    |multiply both sides by 10

10x = 2.666...   |multiply both sides by 10

100x = 26.666...

100x - 10x = 26.666... - 2.666...

90x = 24     |divide both sides by 90

x = 24/90

x = 12/45

Answer: 0.2666... = 12/45
[tex]Let x = 0.2666 [/tex]

[tex] 10x = 2.666 [/tex]  

[tex]100x = 26.666[/tex]

[tex]100x - 10x = 26.666= - 2.666[/tex]

[tex]90x = 24[/tex]

[tex]x = 24/90[/tex]

[tex]x = 12/45 [/tex]

Fraction = 12/45