Answer
$\displaystyle \frac{1}{9}=0.\overline{1},\quad \displaystyle \frac{2}{9}=0.\overline{2},\quad\frac{3}{9}=0.\overline{3},\quad\frac{8}{9}=0.\overline{8}$
$\displaystyle \frac{9}{9}=1=0.\overline{9}$
Work Step by Step
$\displaystyle \frac{1}{9}$ is another way of writing $1\div 9\quad $
We can write an integer as a decimal number by writing a decimal point and however many zeros we want following it.
$ \begin{array}{lllllll}
& & 0. & 1 & 1 & 1 & 1...\\
& -- & -- & -- & -- & -- & --\\
9 & ) & 1. & 0 & 0 & 0 & 0\\
& & & 9 & & & \\
& & -- & -- & & & \\
& & & 1 & 0 & & \\
& & & & 9 & & \\
& & & -- & -- & & \\
& & & & 1 & 0 & \\
& & & & & 9 & \\
& & & & & ... &
\end{array}$
The numeral "1" repeats from the first decimal place, and we write
$\displaystyle \frac{1}{9}=0.\overline{1}$
Similarly,
$\displaystyle \frac{2}{9}=0.\overline{2}$
$\displaystyle \frac{3}{9}=0.\overline{3}$
$\displaystyle \frac{8}{9}=0.\overline{8}$
$\displaystyle \frac{9}{9}=1=0.\overline{9}$
