Упр.488 ГДЗ Мерзляк Полонский 6 класс (Математика)

1) 1? 2/(3+ 1/2);
2) 8? 1/ (1/2? 1/3)/8+ (1/(1/2? 1/3));
3) 1/(1+ 1(/1+ 1/(1+ 1/2))).

1) $$1-\frac{2}{3+\frac12}=1-\frac{2}{\frac72}=1-\frac{4}{7}=\frac{3}{7}.$$

2) $$\frac{8-\frac{1}{\frac12-\frac13}}{8+\frac{1}{\frac12-\frac13}}=\frac{8-\frac{1}{\frac16}}{8+\frac{1}{\frac16}}=\frac{8-6}{8+6}=\frac{2}{14}=\frac17.$$

3) $$\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac12}}}=\frac{1}{1+\frac{1}{1+\frac{1}{\frac32}}}=\frac{1}{1+\frac{1}{1+\frac23}}=\frac{1}{1+\frac{1}{\frac53}}=\frac{1}{1+\frac35}=\frac{1}{\frac85}=\frac58.$$

Ответ

1) $$\frac37$$; 2) $$\frac17$$; 3) $$\frac58$$.