Question

Express each of the following as a rational number in its simplest form:

(i) `0. bar (12)`

Answer 1

Let x =`  0. bar (12)`
∴ x = 0.1212               …(1)
100x = 12.1212                          …(2)
On subtracting equation (1) from (2), we get
99x = 12 ⇒ x = `4/33`
∴0.12 = `bar (4)/33`