Convert 8.132132132... to a rational expression in the form of a/b where b is not equal to 0
Accepted Solution
A:
Separate the 8 from the rest: 8 + .132132132...
.132132132... is a geometric series whose first term is 0.132 and whose common ratio is 0.001. 0.132 Thus, 8 + .132132132... = 8 + ----------- = 8 + 44/333 = 8 44/333 1-0.001
Check this by division. Does 8 plus 44 divided by 333 equal 8.132132...?