Question

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

(i) `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`