Question

What is 3.25 with the 5 repeating as a rational number

Answer 1

322 over 99 is your answer. Hope this helps!

Answer 2

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.


`(322.3)/(99)`

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


`(3223)/(990)= (11*293)/(2*3*3*5*11)=(293)/(2*3*3*5)=(293)/(90)\ or\ 3 (23)/(90)`