Question

4)Dada a dízima periódica , diga qual é a fração geratriz. a)0,44444... b) 0,12525... c) 0,,545454... d) 0,,047777... HELP

Answer 1

Resposta:

a) 4/9

b) 62/495

c) 54/99

d) 43/900

Explicação passo-a-passo:

a) 0,444...=x×(10)

4,444...= 10x

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

9x=4

x=4/9

b) 0,1252525...=x×(10)

1,252525...10x×(10)

125,252525=1000x

1000x-10x=125,252525...-1,252525

990x= 124

x=124/990

62/495

c) 0,545454...=x×(10)

5,454545...= 10x×(10)

54,545454...= 100x

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

99x=54

54/99

d)0,04777...x×(100)

4,777...=100x(10)

47,777...=1000x

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

900x=43

43/900