Найдите значение выражения:
1)

(2 \frac{5}{9} - 1 \frac{20}{21}) : 1 \frac{8}{49} + 1 \frac{8}{9} : 6

;
2)

(1 \frac{17}{18} * 1 \frac{13}{14} - 2 \frac{5}{8} : 1 \frac{19}{20}) : (2 \frac{25}{78} - 1 \frac{1}{26})

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Математика 6 класс Мерзляк. Номер №462

(2 \frac{5}{9} - 1 \frac{20}{21}) : 1 \frac{8}{49} + 1 \frac{8}{9} : 6 = (1 \frac{98}{63} - 1 \frac{60}{63}) : \frac{57}{49} + \frac{17}{9} * \frac{1}{6} = (1 \frac{98}{63} - 1 \frac{60}{63}) : \frac{57}{49} + \frac{17}{9} * \frac{1}{6} = \frac{38}{63} * \frac{49}{57} + \frac{17}{54} = \frac{2}{9} * \frac{7}{3} + \frac{17}{54} = \frac{14}{27} + \frac{17}{54} = \frac{28}{54} + \frac{17}{54} = \frac{45}{54} = \frac{5}{6}

(1 \frac{17}{18} * 1 \frac{13}{14} - 2 \frac{5}{8} : 1 \frac{19}{20}) : (2 \frac{25}{78} - 1 \frac{1}{26}) = (\frac{35}{18} * \frac{27}{14} - \frac{21}{8} : \frac{39}{20}) : (2 \frac{25}{78} - 1 \frac{3}{78}) = (\frac{5}{2} * \frac{3}{2} - \frac{21}{8} * \frac{20}{39}) : 1 \frac{11}{39} = (\frac{15}{4} - \frac{7}{2} * \frac{5}{13}) : \frac{50}{39} = (\frac{15}{4} - \frac{35}{26}) * \frac{39}{50} = (\frac{195}{52} - \frac{70}{52}) * \frac{39}{50} = \frac{125}{52} * \frac{39}{50} = \frac{5}{52} * \frac{39}{2} = \frac{195}{104} = 1 \frac{91}{104} = 1 \frac{7}{8}

ГДЗ Математика 6 класс Мерзляк, Полонский, Якир