Salut !
Pasul I : Transformam fractiile zecimale in fractii ordinale :
0.1(3) = 12 / 90 = 2 / 15
0.(6) = 6/9 = 2 / 3
Fie cele doua numere a si b reale :
a+b = 144
Daca a si b sunt direct proportionale, asta inseamna ca :
a = (2/ 15) * u
b = (2/3) * u
Inlocuim :
[tex]\frac{2u}{15} + \frac{2u}{3} = \frac{2u}{15} + \frac{10u}{15} = \frac{12u}{15}[/tex]
12u/15 = 144
u = 180
a = (2/ 15) * u , deci a = 360 / 15 = 24
b = (2/3) * u , deci b = 360 / 3 = 120
