##5/33##
We first let 0.15 (15 being repeated) be ##x##.
Since ##x## is recurring in 2 decimal places we multiply it by 100.
##100x = 15.15##
Next we subtract them.
##100x – x = 15.15 – 0.15##
##99x = 15##
Lastly we divide both sides by 99 to get ##x## as a fraction.
##x = 15/99##
##= 5/33##