Question

Determine a fração geratriz de cada uma das seguintes dízimas periódicas :
2,777....
1,2343434...
3,1672867286728...​

Answer 1

Resposta:

2,777...

X=2+7/9 ou 25/7

1,2343434...

x=1,2343434...

10x=12,343434...

10*100= 1000

1000x=1234,343434.....

10x= 12,343434.....

= 990x=1222,000000.....

x=1222/990

X=611/495

3,1672867286728...​

x = 3,1672867286728

10x = 31,67286728

100000x = 316728,67286728

100000x - 10x = 316728,6728 - 31,6728

99990x = 316697

x = 316697/99990

Explicação passo-a-passo: