Question

resolva as dizimas periódicas abaixo: a} 1, 25111 , B} 0,12222

Answer 1

Boa noite Italo

a) 

x = 1.25111...

x = 1.25 + 0.00111...

y = 0.00111...

1000y = 1.111...
100y = 0.111...
900y = 1
y = 1/900 

1.25 = 5/4 

x = 5/4 + 1/900 
x = (4500 + 4)/3600
x= 563/450

b)

x = 0.1222...
x = 1/10 + 0.0222...

y = 0.0222..
100y = 2.222...
10y = 0.222...
90y = 2
y = 1/45

x = 1/10 + 1/45
x = (45 + 10)/450
x = 55/450
x = 11/90