Recurring decimals

You must have seen decimals with some digits occurring in them like those shown below-
0.23232323.....
0.236236236236....
0.238383838...
0.2538383838...
The first two examples show all digits recurring while the next 2 show only some of latter digits recurring.
I now wish to show how you can convert these into ordinary fractions.
The first will be 23/99.The second will be 236/999
The third will be 2/10+38/990 which will get reduced to 118/495
The fourth will be 25/100+38/9900 which will get reduced to 2513/9900.
Try understanding the process.
Try working out 0.437878787878...etc