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

Example of recurring decimal

2 9 =0.2222222222222......

8 33 =0.24242424242424.........

41 333 =0.123123123123123123.........

The recurring decimal can be change to fraction using the sum to infinity formula
S = a 1r
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 ….