Question

Encontre a fração geratriz:

a) 1,333

b)2,345345345

c) 2,57...

d) 2, 5835...​

Answer 1

a)

$1,333... =\frac{13-1}{9} =\frac{12\div3}{9\div3}\\=\frac{4}{3}$

b)

$2,345345... =\frac{2345-2}{999}=\frac{2343\div3}{999\div3}=\frac{781}{333}$

c)

$2,5757... \frac{257-2}{99}=\frac{255\div3}{99\div3}\\=\frac{85}{33}$

d)

$2,58355835... =\frac{25835-2}{9999}=\frac{25833\div3}{9999\div3}\\=\frac{8611}{3333}$