Najpierw obliczę ile wynosi liczba a
[tex]a=2+\frac{2}{2+\frac{2}{2+\frac{2}{3} } } \\\\a= 2+\frac{2}{2+\frac{2}{2\frac{2}{3} } }\\\\a=2+\frac{2}{2+\frac{2}{\frac{8}{3} } }\\\\a=2+\frac{2}{2+2\div \frac{8}{3} }\\\\a= 2+\frac{2}{2+2\cdot \frac{3}{8} }\\\\a=2+\frac{2}{2+\frac{3}{4} } \\\\a=2+\frac{2}{2\frac{3}{4} } \\\\a=2+\frac{2}{\frac{11}{4} }\\\\a=2+2\div \frac{11}{4} \\\\a=2+ 2 \cdot \frac{4}{11} \\\\a=2+\frac{8}{11} \\\\a=2\frac{8}{11}[/tex]
[tex]\frac{a}{b} =a \div b = a \cdot \frac{1}{b} \\\\ a \cdot \frac{1}{b}= ?~~ \land ~~a=2\frac{8}{11} ~~\land ~~b=1~\Rightarrow \frac{1}{b} = 1 \\\\2\frac{8}{11} \cdot 1 = 2\frac{8}{11} \\\\Odp: ~~Iloraz~~ \frac{a}{b} ~~ wynosi~~2\frac{8}{11}[/tex]
