Question

Qual a fração geratriz de 1,05686868...

Plese eu preciso de ajuda!​

Answer 1

$\ \ \ 1,05686868...\cdot\frac{100}{100} \\\\=105,686868...\cdot\frac{1}{100}\\\\ =(105+0,686868...)\cdot\frac{1}{100}\\\\=\big(105+\frac{68}{99}\big)\cdot\frac{1}{100}\\\\=\big(\frac{1039}{99} +\frac{68}{99}\big)\cdot\frac{1}{100}\\\\=\big(\frac{1039+68}{99}\big)\cdot\frac{1}{100}\\\\=\frac{10463}{99}\cdot\frac{1}{100}\\\\=\frac{10463}{9900}$