Question

qual a forma fracionária de 6,11111...

Answer 1

6,1111111111... = 6 + 0,111111111111111...

x = 0,11111111111111...
10x = 1,11111111111...

10x = 1 + 0,11111111...

10x = 1 + x

9x = 1

x = 1/9

6,111111... = 6 + 1/9 = (54 + 1) / 9 = 55/9

Answer 2

Olá,

Resolução :

x = 6,111...
10x = 61,111...

10x - x = 61 - 6

9x = 55

x = 55/9

Bons Estudos!!