Express `12.0bar5` as rational number.

Options

A. `1193/99`
B. `1191/98`
C. `1198/93`
D. `1209/99`

Answer

`1193/99`

Explanation

Here the whole obtained by writing digits in their order in 1205 and the whole number made by non-reacurriring decimal in oreder is 12.
The number of digits after decimal point =2 and the number of digits after the decimal point that do not recur `=0`.
`12.05=(125)/(10^2-10^0)=(1193)/(99)`