[tex] \frac{a}{b} = \frac{2}{3} deci: a= \frac{b*2}{3} [/tex]
si acum inlocuim
[tex] \frac{b*2}{3} +b=10[/tex] aducem la acelasi numitor peste tot-la 3
[tex] \frac{2b+3b}{3} = \frac{30}{3} [/tex]
2b+3b=30
5b=30
b=30/5
b=6
a+6=10
a=10-6
a=4
deci fractia este:[tex] \frac{4}{6} [/tex]