Question

determine a fraçao geratriz das dizimas a seguir :
a) 5,232323... b)2,17171717...
c)1,263263263 ... d)4,297297...
(fraçao geratriz é aquela(fraçao) que representa a dizima peridica)

Answer 1

a) 5,232323...

x = 5 + 23 / 99 (×99)
99x = 495 + 23
x = 518 / 99



b)2,17171717...

x = 2 + 17 / 99 (×99)
99x = 198 + 17
x = 215 / 99



c)1,263263263 ...

x = 1 + 263 / 999 (×999)
999x = 999 + 263
x = 1262 / 999




d)4,297297...

x = 4 + 297 / 999 (×999 )
999x = 3996 + 297
x = 4293 / 999