Question

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

`0.bar(24)`

Express the following as a fraction in simplest form.

`0.bar(24)`

Answer 1

Let x = ` 0.bar(24)`

∴ x = 0.2424   ...(1)

100x = 24.2424   ...(2)

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

99x = 24

⇒ `x = 8/33`

∴ `0.24 = bar(8)/33`