Question

Transforme em fração as dízimas periódicas compostas

a)0,21444...
b)0,32636363...
c)0,1953333...
d)5,546666...
e)2,14444...
d)4,37777...

Answer 1

Resposta:

Explicação passo-a-passo:

A

x = 0,21444...

100x = 21 + 0,4

100x = 21 + 4/9

900x=189+4

x=193/900

B)

b)0,32636363...

x = 0,32636363...

100x = 32 +  63/99

9900x = 3168+63

9900x = 3231

x= 3231/9900

C)

x = 0,1953333...

1000x = 195 + 33/99

99000x = 19305 + 33

99000x = 19338

x = 19338/99000

D)

x = 5,546666

100x = 554 + 6/9

900x = 4986+6

900x = 4992

x= 4992/900

E)

x = 2,14444...

10x = 21 + 4/9

90x = 189+4

90x = 193

x = 193/90

F)

x = 4,37777...

10x = 43 + 7/9

90x =387  + 7

90x = 394

x = 394/90