Question

Aflati necunoscuta din următoarea egalitate: 0.(1)/0.(2)=0.(2)/x​

Answer 1

$\dfrac{0,(1)}{0,(2)} = \dfrac{0,(2)}{x} \iff 0.(1) \cdot x = 0.(2) \cdot 0,(2)$

$\dfrac{1}{9} \cdot x = \dfrac{2}{9} \cdot \dfrac{2}{9} \ \ \Big|\cdot 9 \implies \bf x = \dfrac{4}{9}$