Represent the following as rational numbers :
`(i) 0.bar43` (ii) `0.4bar3` (iii) `24.28bar(137)`

Explanation

To convert the given repeating decimals into rational numbers, we will use algebraic methods. Let's solve each part step by step.

### (i) Convert \(0.\overline{43}\) to a rational number:

1. **Let \(x = 0.\overline{43}\)**.
2. **Multiply both sides by 100** (since there are 2 digits in the repeating part):
\[
100x = 43.\overline{43}
...