1 answer
(click or scroll down)
To write the repeating decimal $2.\overline{8}$ as a fraction, we can call it $x$ and subtract it from $10x$. This way, the repeating part of $x$ will cancel out and we will be left with a whole number: \begin{align*}
10x-x &= 28.\overline{8} - 2.\overline{8} \\
&= 26 \\
\end{align*}Since $10x-x=9x$ and $26=\frac{26}{1}$, we have $9x=\frac{26}{1}$. Dividing both sides by 9 gives $x=\boxed{\frac{26}{9}}$.