Question

encontre a fração geratriz das dízimas periódicas dadas
0,85222...
0,34848...

0,4588...

0,344...

3,566...

7,2355...

12,3444...

15,6222...

20,7888...​

Answer 1

Explicação passo-a-passo:

a) 0,85222... = 852-85/900 = 767/900

b) 0,34848... = 348-3/990 = 345/990 ,(:5) ===> 69/198 (:3) ====> 23/66

c) 0,45888... = 458-45/900 = 413/900

d) 0,3444... = 34-3/90 = 31/90

e) 3,5666... = 356-35/90 = 321/90 (:3) ===> 107/30

f) 7,23555... = 7235-723/900 = 6512/900 (:2) ==> 3256/450

g) 12,3444... = 1234-123/90= 1111/90

h) 15,6222... = 1562-156/90= 1406/90 (:2) ===> 703/45

h) 20,7888... = 2078-207/90= 1871/90

Bons estudos!!!