Express the following in the form , where *p *and *q *are integers and .

**(i)** **(ii)** **(iii)**

**Solution (i)**

....

Let ..... ** (i)**

Multiplying equation** (i)** by 10, we get

..... **(ii)**

Subtracting equation **(i)** from **(ii)**, we get

Therefore,

**Solution (ii)**

....

Let ..... ** (i)**

Multiplying equation** (i)** by 100, we get

..... **(ii)**

Subtracting equation **(i)** from **(ii)**, we get

Therefore,

**Solution (iii)**

....

Let ..... ** (i)**

Multiplying equation** (i)** by 1000, we get

..... **(ii)**

Subtracting equation **(i)** from **(ii)**, we get

Therefore,