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