Question

Qual a fraçao de geratriz de a) 0,030303 b) 0,044444 c)2,020202 d) 7,007007 e) 0,080808

Answer 1

$Ola'~~~~\mathbf{Emerson} \\ \\ a) \\ 0,030303030....= \frac{3}{99} = \boxed{\frac{1}{33}}} \\ b) \\ 0,0444444...= \frac{44-4}{900}= \frac{40}{900} = \boxed{\frac{2}{45}} \\ c) \\ 2,0202020202....= \frac{202-2}{99}= \boxed{\frac{200}{99}} \\ d) \\ 7,007007007...= \frac{7007-7}{999} = \boxed{\frac{7000}{999} } \\ e) \\ 0,80808080....= \boxed{\frac{8}{99}} \\ \\ \mathbb{ttttttttttttttttttttttttttttttttttttttt} \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~ter~ajudado!!$