Question

1) Determine a fração geratriz das dizimas periódicas:
a) 0,222...
b) 0,797979...
c) 0,4444...​

Answer 1

Resposta:

a) x=0,2222... (.10)

10x=2,2222...

10x-x=2,222...-0,222...

9x=2

x=$\frac{2}{9}$

b) x=0,797979... (.100)

100x=79,797979...

100x-x=79,797979...-0,797979...

99x=79

x=$\frac{79}{99}$

c) x=0,4444... (.10)

10x=4,4444...

10x-x=4,444...-0,444...

9x=4

x=$\frac{4}{9}$