Question

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

(i`) 0.bar (8)` 

Answer 1

Let x = `bar(0.8)`
∴ x = 0.888                …(1)
10x = 8.888                          …(2)
On subtracting equation (1) from (2), we get
9x = 8 ⇒ x =` 8/9`
∴0.8 =`bar(8)/9`