Question

qual é a geratriz da dízima 66,77

Answer 1

$x=66,777\ldots$


Multiplicando por $10,$ temos

$10x=667,777\ldots$


De forma que

$10x-x=667,777\ldots-66,777\ldots\\\\ 10x-x=667-66\\\\ 9x=601\\\\ x=\dfrac{601}{9}\\\\\\ \therefore~~\boxed{\begin{array}{c} 667,777\ldots=\dfrac{601}{9} \end{array}}$


Bons estudos! :-)