transformam fractiile periodice in fractii ordinare
2,(3)=23-3/9=20/9
0,1(3)=13-1/90=12/90
le aducem la acelasi numitor
[tex] \frac{20}{9} = \frac{20 \times 10}{9 \times 10} = \frac{200}{90} \\ [/tex]
[tex] \frac{12}{90} = \frac{12}{90} [/tex]
[tex] \frac{3}{5} = \frac{3 \times 18}{5 \times 18} = \frac{54}{90} [/tex]
le calculam media aritmetica
[tex] \frac{ \frac{12}{90} + \frac{200}{90} + \frac{54}{90} } {3} = \frac{ \frac{266}{90} }{3} = \frac{266}{90} \times \frac{1}{3} = \frac{266}{270} [/tex]
