Respuesta :

Answer:

Step-by-step explanation:

Call the given fraction x

x = 0.436363636....

Multiply the given fraction by 1000

1000 x = 436.3636363636 ....

10 x = 4.363636....     is the original number multiplied by 10

990x = 432                     the 0.36363636 ... cancels out of both of them

990x = 432                    Divide by 990

x = 432 / 990

x = 216 / 495

I think that is about as simple as you can get it.