Question

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

`0.bar(8)`

Express the following as a fraction in simplest form.

`0.bar(8)`

Answer 1

Let x = `0.bar(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`