ГДЗ: Упражнение 5.29 — Раскрытие скобок / Математика 6 класс. Часть 2

\((2):(15)=\frac{2}{15}\); \((4)+(\frac{2}{15})=\frac{62}{15}\); \((3):(10)=\frac{3}{10}\); \((3)+(\frac{3}{10})=\frac{33}{10}\); \((\frac{62}{15})-(\frac{33}{10})=\frac{5}{6}\); \((1):(6)=\frac{1}{6}\); \((2)+(\frac{1}{6})=\frac{13}{6}\); \((\frac{5}{6})-(\frac{13}{6})=-\frac{4}{3}\).

Ответ: \(-\frac{4}{3}\).

\((5):(21)=\frac{5}{21}\); \((7)+(\frac{5}{21})=\frac{152}{21}\); \((1):(7)=\frac{1}{7}\); \((14)+(\frac{1}{7})=\frac{99}{7}\); \((\frac{152}{21})-(\frac{99}{7})=-\frac{145}{21}\); \((1):(14)=\frac{1}{14}\); \((6)+(\frac{1}{14})=\frac{85}{14}\); \((-\frac{145}{21})+(\frac{85}{14})=-\frac{5}{6}\).

Ответ: \(-\frac{5}{6}\).

\((2):(35)=\frac{2}{35}\); \((24)+(\frac{2}{35})=\frac{842}{35}\); \((5):(14)=\frac{5}{14}\); \((18)+(\frac{5}{14})=\frac{257}{14}\); \((\frac{842}{35})-(\frac{257}{14})=\frac{57}{10}\); \((3):(10)=\frac{3}{10}\); \((5)+(\frac{3}{10})=\frac{53}{10}\); \((\frac{57}{10})-(\frac{53}{10})=\frac{2}{5}\).

Ответ: \(\frac{2}{5}\).

\((2):(9)=\frac{2}{9}\); \((1)+(\frac{2}{9})=\frac{11}{9}\); \((5):(6)=\frac{5}{6}\); \((2)+(\frac{5}{6})=\frac{17}{6}\); \((\frac{11}{9})+(\frac{17}{6})=\frac{73}{18}\); \((1):(5)=\frac{1}{5}\); \((35)+(\frac{1}{5})=\frac{176}{5}\); \((\frac{73}{18})-(\frac{176}{5})=-\frac{2803}{90}\).

Ответ: \(-\frac{2803}{90}\).