Question

Convert 8.132132132... to a rational expression in the form of A over B where B does not equal 0

Answer 1

`\begin{gathered} Let, \\ x=8.132132132\ldots\Rightarrow(1) \\ \text{multiply both sides with 1000,} \\ 1000x=8132.132132\Rightarrow(2) \\ \text{subtract equation (1) from equation (2).} \\ 999x=8124 \\ x=(8124)/(999) \\ \text{thus, this is the rational expression.} \end{gathered}`