Question

determinar a fracao geratriz da dízima periódica 1,484848...

Answer 1

$\boxed{\begin{array}{l}\sf x=1,484848...\cdot100\\\sf 100x=148,4848...\\-\underline{\begin{cases}\sf 100x=148,484848...\\\sf x=1,484848...\end{cases}}\\\sf99x=147\\\sf x=\dfrac{147\div3}{99\div3}\\\sf x=\dfrac{49}{33}\end{array}}$