Question

Calcule a fração geratriz de cada uma das seguintes dízimas periódicas:
a) 2,555555...
b) 13,343434....
c) 4,133333...
d) 9,538383838...
e) 11,123123123....
f) 5,35666666...
g) 134,222222....
h) 37, 26262626....
i) 3,644444...
j) 12,719191919...​

Answer 1

a) 2,555555... = 23/9

b) 13,343434.... = 6671717/500000

c) 4,133333... = 4133333/1000000

d) 9,538383838... = 4769191919/500000000 

e) 11,123123123.... = 11123123123/1000000000

f) 5,35666666... = 267833333/50000000

g) 134,222222.... = 67111111/500000

h) 37, 26262626.... = 1863131313/50000000

i) 3,644444... = 911111/250000

j) 12,719191919... = 12719191919/1000000000