Question

obtenha as geratriz da seguintes dizimas periódicas:

a) 2,666...
b) 3,4848...
c) 1,7555...
d) 0,352121...
e) 0,35444...
f) 2,5424242...

Answer 1

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