what is 0.832, the 32 repeating, as a simplified fraction

Write the 832 without the decimal

Subtract the non-repeating part from this   =  832 - 8 = 824

Write this over a number having the same number of 9's as the repeating part and the same number of 0's as the non-repeating part = 990

So we have     824 / 990  = 412 / 495

Check for yourself that this is equal to   .8323232.......