Resposta :
[tex]a) 0,555...=\frac{5}{9}[/tex]
[tex]b)3,535353..=3+0,535353...=3+\frac{53}{99}=\frac{350}{99}[/tex]
[tex]c)2,1232323...=2+0,1232323=2+\frac{1,232323...}{10}=2+\frac{1+0,232323..}{10}=[/tex]
[tex]2+\frac{1+0,232323..}{10}=2+\frac{1+\frac{23}{99}}{10}=\frac{2102}{990}=\frac{1051}{495}[/tex]
Confira com uma calculadora
a) 0,555...
geratriz = 5/9
b) 3,535353...
3 + 0,535353...
3 + 53/99
297/99 + 53/99 = 350/99
geratriz = 350/99
c) 2,1232323...
2 + 0,1232323..
2 + (123 - 1) / 990
2 + 122/990
2 + 61/495
(990 + 61)/495
geratriz = 1051/495