Answer: 4 /15
Step-by-step explanation:
[tex]0.2\overline{6}\\\\=0.2+\dfrac{1}{10} *\dfrac{6}{9} \\\\=\dfrac{1}{5} +\dfrac{1}{15} \\\\\\\boxed{0.2\overline{6}=\dfrac{4}{15} }\\[/tex]