Question

Qual a fração geratriz de 3,151515...
e -2,477777...

Answer 1

$\boxed{0,151515... = \frac{15}{99} }$

$\boxed{3,151515... = 3 + 0,151515... = 3+ \frac{15}{99} = \frac{297+15}{99} = \frac{312}{99} = \frac{104}{33}}$

$\boxed{0,47777... = \frac{43}{90} }$

$\boxed{-2,477... = -(2 + 0,477...) = -(2+ \frac{43}{90} ) = \frac{180 + 43}{90} = - \frac{223}{90} }$

Espero ter ajudado. :))