Question

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

`2.bar(4)`

Express the following as a fraction in simplest form.

`2.bar(4)`

Answer 1

Let x = `2.bar(4)`

∴ x = 2.444   ...(1)

10x = 24.444   ...(2)

On subtracting equation (1) from (2), we get

9x = 22

⇒ `x = 22/9`

∴ `2.4 = bar(22)/9`