Hi, I solved this by doing the following. Could you please explain why it is wrong?
Let x = 3.24 (recurring)
multiply both sides by 100 and subtract x
99x = 324
x = 324/99 which is simplified to 36/11. Answer is 47.
100x - x = 99x = 324.\overline{24} - 3.\overline{24} = 321
Thank you so much, that was so very silly. My bad.