Question

como faço essa dízima periódica 6,3111... prfv

Answer 1

Ola Junior

6.3111... = 6 + 3/10 + 0.0111..

x = 0.0111...

100x = 1.111..
10x = 0.111..

90x = 1

x = 1/90 

6 + 3/10 + 1/90 

540/90 + 27/90 + 1/90 = 568/90 = 284/45 

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