Question

10- Obtenha as geratrizes das
seguintes dízimas periódicas:
a. 2,666...
b. 3,4848...
c. 1,7555...
d. 0,352121...
e. 0,35444...
f. 2,5424242...​

Answer 1

Resposta:

a) 2,666...

x = 2 + 6/9

9x = 18 + 6

x = 24/9

b) 3,4848...

x = 3 + 48/99

99x = 297 + 48

x = 345/99

c) 1,7555...

10x = 17 + 5/9

90x = 153 + 5

x = 158/90

d) 0,352121...

100x = 35 + 21/99

9900x = 3465 + 21

x = 3486 / 9900

e) 0,35444...

100x = 35 + 4/9

900x = 315 + 4

x = 319 / 900

f) 2,5424242...

10x = 25 + 42/99

990x = 2475 + 42

x = 2517/990