Question
Express the following in the form 
where p and q are integers and q ≠ 0.
Solution
Let x = 
= 0.47777 ......
Multiplying both sides by 10 (since one digit is repeating), we get
10x = 4.7777 ......
10x = 4.3 + 0.47777 .......
10x = 4.3 + x
10x - x = 4.3
9x = 4.3
Here, p = 43
q = 90 (
)
