Ajudem a resolver essa dizima periodica:
0,142857142857142857...
Exemplo:
0,686868...
x=0,686868...
100x=68,6868...
100x-x=68,[6868...-0,[6868...
100x-x
99x=68
x=68/99
0,142857142857142857...
Exemplo:
0,686868...
x=0,686868...
100x=68,6868...
100x-x=68,[6868...-0,[6868...
100x-x
99x=68
x=68/99
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0,142857142857...
x=0,142857
1000000x=142857,142857...
- 1x= 0,142857...
999999x=142857
x= 142857/999999 = 15873/111111 = 1443/10101=
x= 481/3367