Question

A geratriz da dízima 0,1666....é uma fração irredutível de denominador igual a: *​

Answer 1

$\Large\boxed{\begin{array}{l}\sf x=0,1666\dotsc\cdot10\\\sf 10x=1,666\dotsc\cdot10\\\sf 100x=16,666\dotsc\\-\underline{\begin{cases}\sf 100x=16,666\dotsc\\\sf 10x=1,666\dotsc\end{cases}}\\\sf 90x=15\\\sf x=\dfrac{15\div15}{90\div15}\\\\\sf x=\dfrac{1}{6}\\\\\sf o\,denominador\,pedido\,\acute e\,6\end{array}}$