Question

Calcule a fração geratriz a partir de dizima periódica
(A) 0,999...
(B) 3,03888...
(C) 0,252525...
(D)6,0444...
(E) 0,202222...
quero como q monta a conta

Answer 1

A) 0,999...
10x= 9,999...
10x-x= 9,999...- 0,999...
9x= 9
x= 9/9

B) 3,03888...
100x= 303,888...
1000x= 3038,888...
1000x-100x= 3038,888...- 303,888...
900x= 2705
x= 2705/900

C) 0,252525...
100x= 25,252525...
100x-x= 25,252525...- 0,252525...
99x= 25
x= 25/99

D) 6,0444...
100x= 604,444...
1000x= 6044,444...
1000x-100x= 6044,444...- 604,444...
900x= 5404
x= 5404/900

E) 0,20222...
100x= 20,222...
1000x= 202,222...
1000x-100x= 202,222...- 20,222...
900x= 182
x= 182/900

Espero ter ajudado