Respuesta :

First write out the fraction as follows:

0.324        0.324
--------- = -----------
3.6            3.600

Now move both decimal points 3 spaces to the right:  

324
-------
3600

You must now find a way to divide this fraction.  I would start by looking for the largest possible factor of both 324 and 3600 and then reduce the fraction by cancelling the common factor.  While not large, 2 is such a common factor, so from 324/3600 we'd get 162/1800 = 81/900.

9 is a factor common to both 8a and 900, so continue reducing your fraction:

9/100.  This cannot be reduced further.  

9/100=0.09 (which does not repeat).