Question

ME AJUDEM É URGENTE !!!!

Answer 1

ME AJUDEM É URGENTE !!!!

a)

        x     =     0,555...(10) multiplica
    10x     =     5,555...

10x = 5,555...
    x = 0,555... subtrai
--------------------------------
  9x = 5,000...

9x = 5

x = 5/9

assim
0,555... = 5/9

b)

        x     =      0,131313....(100) multiplica
 100x      =    13,131313...

100x = 13.131313...
      x =   0,131313... ( subtrai)
--------------------------------------
   99x = 13,00000....

99x = 13
x = 13/99

assim

0,131313... = 13/99

c)

        x       =         0,328328328.... ( 1000) multiplica
1000x      =      328,328328328...

1000x = 328,328328328...
        x =     0,328328328...subtrai
-------------------------------------
  999x =  328,000000000...

999x = 328

x = 328/999 

assim

0,328328328 ... = 328/999

d)
     
               x       =     1,222... ( 10)multiplica
           10x       =   12,222...

10x = 12,222...
    x =   1,222... subtrai
 ------------------------------ 
  9x = 11,000...

9x = 11
x = 11/9

assim

1,222... = 11/9


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