# Sum to infinity : Example 1 (Change Recurring Decimal to fraction)

Example of recurring decimal

$\frac{2}{9}$ =0.2222222222222......

$\frac{8}{33}$ =0.24242424242424.........

$\frac{41}{333}$ =0.123123123123123123.........

The recurring decimal can be change to fraction using the sum to infinity formula
$S ∞ = a 1−r$
Example 1(Change recurring decimal to fraction)

Express each of the following recurring decimals as a fraction in its lowest terms.
(a) 0.888 ...
(b) 0.171717...
(c) 0.513513513 ….