Question

determine a fração fãs dízimas a segui 5,23232323... 2,17171717... 1,263263... 4,297297

Answer 1

Determine a fração fãs dízimas a segui 5,23232323... 2,17171717... 1,263263... 4,297297


         x    =        5,232323... (100) multiplica
   100x    =   523,232323....   

100x = 523,232323...
      x =     5,232323...(subtrai)
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   99x = 518,00000...

99x = 518

x =  518/99

OUTRA MANEIRA DE FAZER

                            523 - 3           518
   5,232323... = ------------- = -----------
                              99                  99


              X       =      2,171717...  (100) multiplica
         100X     =   217,171717...

100X = 217,171717...
      X =     2,171717... (substrai)
----------------------------------
   99x = 215,00000....

99x = 215

x = 215/99


                   x        =         1,263263263...  (1000)multiplica
           1000x        =   1263,263263263...

1000x = 1263,263263263...
        x =        1,263263263... (subtrai)
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   999x = 1262,000000000....

999x = 1262

x = 1262/999


        x          =               4,297297297... (1000)multiplica
1000x          =         4297,297297297...
-----------------------------------------------------
  999x         =          4293,000000000...

999x = 4293

x= 4293/999