Question

Encontre a fração geratriz dos seguintes números:

0,333...

2,333...

2,34222...​

Answer 1

Resposta:

0,333(5689)

2,333(79178)

2,34222(8,64800)

Answer 2

Cálculos:

$x=0,333...x(10)\\10x=3,333...\\9x=3\\x=\frac{3}{9} =\frac{1}{3}$

Resposta:0,333...=1/3

$x=2,333...x(10)\\10x=23,333...\\9x=21\\x=\frac{21}{9} =\frac{7}{3}$

Resposta:2,333...=7/3

$x=2,34222...x(100)\\100x=234,222...x(10)\\1000x=2342,222\\900x=2108\\x=\frac{2108}{900}=\frac{1054}{450}=\frac{527}{225}$

Resposta:2,34222...=527/225