Question

.Calcule a fração geratriz de cada uma das dízimas periódicas simples:
a) 3,21212121...
b)1,888888...
c) 0,26262626...
d) 12,33333...
e) 17,89898989...​

Answer 1

RESPOSTA:

a) 3,21212121... = 318/99

b)1,888888... = 17/9

c) 0,26262626... = 26/99

d) 12,33333... = 111/9

e) 17,89898989... = 1.772/99

Espero ajudar.

Answer 2

a) 3,2121...

x = 3 + 0,212121...

x = 3 + 21/99

x = 318/99 : 3 = 106/33 :

a = 106/33

_________________

b) 1,888...

x = 1 + 0,8888...

x = 1 + 8/9

x = 17/9

b = 17/9

___________________

c) x = 0,26

x = 26/99 : 3

c = 26/99

_______________

d) 12,3333

x = 12 + 0,333...

x = 12 + 3/9

x = 111/9 : 3 = 37/3

d = 37/3

____________

e) 17,898989...

x = 17 + 0,8989...

x = 17 + 89/99

x = 1772/99

e = 1772/99