Font (2 3) - + Letter spacing (4 5) - + Word spacing (6 7) - + Line spacing (8 9) - +

1.40 Recurring decimals as geometric series

1.39.1 Example

0.3333…=1/3.

Solution. Here $a=3/10$ and $r=1/10$ , so $s=a/(1-r)=3/9=1/3.$

0.18181818…=2/11.