let x = 0.48484848...
multiply by 100 ( to get the recurring digits on the other side of the decimal point )
100x = 48.48484848...
subtracting
99x = 48
x =48 / 99 = 16 / 33
try the following page for the same problem worked out using the concept of the sum of an infinite GP
http://rbmix.com/problem/re2/r.php
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