Express the following in the form `p/q ,`, where p and q are integers and `q!=0`.(i) `0. bar6` (ii) `0. bar 47` (iii) `0. bar 001`

Explanation

To express the given repeating decimals in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \), we will follow a systematic approach for each part of the question.

### Part (i): Convert \( 0.\overline{6} \) to the form \( \frac{p}{q} \)

1. **Let \( x = 0.\overline{6} \)**
This means \( x = 0.66666\ldots \)

2. **Multiply both sides by 10**
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