Question

The number \[\ce{0.\overset{\bullet}{4}}\] in `p/q`  form is ______.

Options

• `4/9`

• `40/9`

• `3.6/9`

• `36/9`

Answer 1

The number \[\ce{0.\overset{\bullet}{4}}\] in `p/q`  form is `underline(bb(4/9))`.

Explanation:

Let x = \[\ce{0.\overset{\bullet}{4}}\]        ...(i)

Multiplying both sides by 10, we get

10x = \[\ce{4.\overset{\bullet}{4}}\]      ....(ii)

Subtracting (i) from (ii), we get

9x = 4

`=> x = 4/9`