What is 3.25 with the 5 repeating as a rational number
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.
\(\frac{3223}{990}= \frac{11*293}{2*3*3*5*11}=\frac{293}{2*3*3*5}=\frac{293}{90}\ or\ 3 \frac{23}{90}\)