Question

fração geratriz das dizimas periódicas 2,86666...
1,06171717...
3,51515151...
2,171717..​

Answer 1

Explicação passo-a-passo:

1 ) 2,86666

X = 2,86666

100x = 286,6666

1000x = 2866,6666

_________________

1000x - 100x = 2866 - 286

900x = 2580

X = 2580/900 : 60

X = 43/15

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2 ) 1,06171717

X = 1,06171717

100x = 106,171717

1000x = 10617,1717

_________________

1000x - 100x = 10617 - 106

9900x = 10511

X = 10511/9900

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3 ) 3,515151

X = 3,515151

100x = 351,5151

_____________

100x - x = 351 - 3

99x = 348

X = 348/99 : 3

X = 116 / 33

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4 ) 2,171717

X = 2,171717

100x = 217,1717

______________

100x - x = 217 - 2

99x = 215

X = 215/99