Question

0,33françao geratriz

Answer 1

0,3333...

x = 0,33333...

10x=3,33333...

10x = 3 + 0,333333...

10x  = 3 + x

10x - x = 3

9x = 3

$x = \dfrac{3}{9}\\\\\\x= \dfrac{3:3}{9:3}\\\\\\x= \dfrac{1}{3}$

$\boxed{0,33333... = \dfrac{1}{3}}$