Question

Transforma fractiile zecimale mixte in fractii ordinare : a) 0,(0003) ; 1,2(9) ; 3,70(2) ; 1,2(417); b) 0,02(03) ; 10,3(27) ; 11,47(3) ; 0,002(1) va roggggg frumossss
dau coroana

Answer 1

   
[tex]\displaystyle\\ a)\\ 0,(0003)=\frac{3}{9999}=\frac{1}{3333}\\\\ 1,2(9)=\frac{129-12}{90}=\frac{117}{90}=\frac{13}{10}\\\\ 3,70(2)=\frac{3702-370}{900}=\frac{3332}{900}=\frac{833}{225}\\\\ 1,2(417)=\frac{12417-12}{9990}=\frac{12405}{9990}=\frac{827}{666} [/tex]


[tex]\displaystyle\\ b)\\ 0,02(03)=\frac{203-2}{9900}=\frac{201}{9900}=\frac{67}{3300}\\\\ 10,3(27)=\frac{10327-103}{990}=\frac{568}{55}\\\\ 11,47(3)=\frac{11473-1147}{900}=\frac{10326}{900}=\frac{1721}{150}\\\\ 0,002(1)=\frac{21-2}{9000}=\frac{21-2}{9000}= \frac{19}{9000} [/tex]