Question

encontre a fração geratriz das dízimas periódicas simples
a) 0,32323232...
b) 0,543543543...
c) 0,123123123...​

Answer 1

Resposta:

Explicação passo a passo:

0,323232...

x=0,323232...

100x=32,3232...

100x-x=32,3232...-0,323232...

99x=32

x=32/99

0,543543543...

x=0,543543543...

1000x=543,543543543...

1000x-x=543,543543...-0,543543543...

999x=543

x=543/999 [ simplifica por 3]

x=181/333

0,123123123...

x=0,123123123...

1000x=123,123123...

1000x-x=123,123123...-0,123123123...

999x=123

x=123/999 [ simplifica por 3]

x=41/333