Question

qual a fração geratriz de 0,259595959....?

Answer 1

0,259259

X= 0,259259 .1000

1000X = 259,259259
-       X=      0,259259

  999X=259

X=259/999

prova real 
X=0,259259

Answer 2

Qual a fração geratriz de 0,259595959....?
  
            x   =     0,2595959...( 10) multiplica
        10x   =     2,595959...(100)multiplica
    1000x   = 259,595959...

1000x = 259,595959...
    10x =     2,595959...  subtrai
------------------------------------------
  990x = 257,000000...

990x = 257
x = 257/990

assim

0,2595959... = 257/990