Question

Convert 8.132132132 ... to a rational expression in the form of a over b , where b ≠ 0.

Answer 1

Let x = 8.132132132...

Then 1000x = 8132.132132132...

Subtract x from 1000x to eliminate the fractional part:

1000x - x = 8132.132132132... - 8.132132132...

999x = 8132 - 8 = 8124

x = 8124/999 = 2708/333