Respuesta :

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...?

YES

Answer:

8 132/999

Step-by-step explanation

I know this is the answer. I submitted it and got it right. Good luck! (email me personally and I can help with anything)