[tex]\displaystyle\\
\text{Avem fractia:}~~ \frac{1}{~~\overline{1ab}~~}\\\\
\text{Pentru ca forma zecimala a unei fractii sa aiba numar finit de zecimale,}\\
\text{trebuie ca numitorul fractiei sa aiba divizori doar 2 si/sau 5.}\\\\
\text{Rezulta ca } ~\overline{1ab} ~~\text{poate fi: }\\\\
\overline{1ab} =100=2^2\times5^2,~~a=0,~b=0\\\\
\overline{1ab}=125=5^3,~~a=2,~b=5\\\\
\overline{1ab}=128=2^7,~~a=2,~b=5\\\\
\overline{1ab}=160=2^4\times 5,~~a=6,~b=0\\\\[/tex]
