Question

a fração geratriz de cada dízima periódica a seguir:
a)0,444
b)125225
c)0,545454
d)0,04777​

Answer 1

Resposta:

Explicação passo a passo:

a

x=0,4444...

10x=4,444...

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

9x=4

x=4/9

b

x=1,252525

100x=125,252525...

100x-x=125,2525...-1,252525...

99x=124

x=124/99

c

x=0,545454...

100x=54,545454...

100x-x=54,545454...-0,545454...

99x=54

x=54/99 [simplifica por 9]

x=6/11

d

x=0,04777...

100x=4,777...

1000x=47,777...

1000x-100x=47,777...-4,777...

900x=43

x=43/900