Question

Convert 8.132132132... to a rational expression in the form of a fraction

Answer 1

Let x = 8.132132132... .

Then 1000x = 8132.132132132... .

Subtracting x from 1000x eliminates the fractional part, leaving you

999x = 8132 - 8 = 8124

Then

x = 8124/999 = 2708/333