Verified Answer :

322 over 99 is your answer. Hope this helps!

So,

\(3.2\overline{5}\)

Multiply it by 100.

\(3.2\overline{5}--\ \textgreater \ 325.5\overline{5}\).

We now know that \(325.5\overline{5}\) is 100 times of \(3.2\overline{5}\).  If we subtract the first from the second, we will get 99 of the number.  Then, we can simply divide by 99 and we will have it in fraction form.

\(325.5\overline{5}-3.2\overline{5}=322.3\)

Now, we put it over 99.

\(\frac{322.3}{99}\)

Of course, we cannot have decimals in fraction form, so we will just fix that.

\(\frac{3223}{990}= \frac{11*293}{2*3*3*5*11}=\frac{293}{2*3*3*5}=\frac{293}{90}\ or\ 3 \frac{23}{90}\)