Question

Determinar a fração geratriz das dízimas periódicas simples abaixo (DPS)
a) 0,55....
b) 0,1212...
c) -3,222...
d) 1,2121...
e) 0,0505...
f) 3,555...​

Answer 1

Explicação passo-a-passo:

A)

$0.55 = \frac{55}{100} = \frac{11}{20}$

B)

$0.1212 = \frac{1212}{10000} \div 4 = \frac{303}{2500}$

C)

$- 3.222 = - \frac{3222}{1000} \div 2 = - \frac{1611}{500}$

D)

$1.2121 = \frac{12121}{1000}$

E)

$0.0505 = \frac{505}{10000} \div 5 = \frac{101}{2000}$

F)

$3.555 = \frac{3555}{1000} \div 5 = \frac{711}{200}$