Răspuns :
0,2 : 0,(2)•11,(1) = ?
[tex]\it 0,2 : 0,(2)\cdot11,(1) = \dfrac{2}{10}:\dfrac{2}{9}\cdot 11\dfrac{1}{9}=\dfrac{2}{10}\cdot\dfrac{9}{2}\cdot \dfrac{100}{9} [/tex]
[tex] \frac{2}{10}: \frac{2}{9}X \frac{111-11}{9} = \frac{2}{10}X \frac{9}{2} X \frac{100}{9} = \frac{18}{20} X \frac{100}{9 } = \frac{1800}{180} [/tex]·simplificam prin 10, prin 6 si 3 si ne ramane 1 pe 1