Question

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

`0.bar(12)`

Express the following as a fraction in simplest form.

`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`