Verified Answer :

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

\(Let x = 0.2666\)

\(10x = 2.666\)  

\(100x = 26.666\)

\(100x - 10x = 26.666= - 2.666\)

\(90x = 24\)

\(x = 24/90\)

\(x = 12/45\)

Fraction = 12/45