Răspuns:
(a,b) = (4,5)
Explicație pas cu pas:
[tex] \frac{ababab}{bababa} = \frac{5}{6} \\ 6ababab = 5bababa \\ a(600000 + 6000 + 60) + b(60000 + 600 + 6) \\ = b(500000 + 5000 + 50) + a(50000 + 500 + 5) \\ a(606060 - 50505) = b(505050 - 60606) \\ a \times 555555 = b\times 444444 \\ \frac{a}{b} = \frac{444444}{555555} = \frac{4}{5} [/tex]
