Сложение и вычитание дробей с одинаковыми знаменателями: Решение примеров

Ниже представлены решения примеров из тренажера по математике на тему «Сложение и вычитание дробей с одинаковыми знаменателями». Для удобства записи в тетрадь решения разбиты по столбцам, как на картинке. Столбец 1: 1) \( \frac{7}{12} + \frac{1}{12} = \frac{8}{12} = \frac{2}{3} \) 2) \( \frac{3}{9} + \frac{1}{9} = \frac{4}{9} \) 3) \( \frac{8}{17} + \frac{6}{17} = \frac{14}{17} \) 4) \( \frac{4}{10} + \frac{3}{10} = \frac{7}{10} \) 5) \( \frac{12}{25} + \frac{3}{25} = \frac{15}{25} = \frac{3}{5} \) 6) \( \frac{9}{18} + \frac{3}{18} = \frac{12}{18} = \frac{2}{3} \) 7) \( \frac{56}{100} + \frac{12}{100} = \frac{68}{100} = \frac{17}{25} \) 8) \( \frac{1}{60} + \frac{5}{60} = \frac{6}{60} = \frac{1}{10} \) 9) \( \frac{14}{17} + \frac{2}{17} = \frac{16}{17} \) 10) \( \frac{23}{48} + \frac{15}{48} = \frac{38}{48} = \frac{19}{24} \) Столбец 2: 1) \( \frac{9}{11} - \frac{1}{11} = \frac{8}{11} \) 2) \( \frac{3}{10} - \frac{2}{10} = \frac{1}{10} \) 3) \( \frac{8}{9} - \frac{5}{9} = \frac{3}{9} = \frac{1}{3} \) 4) \( \frac{11}{15} - \frac{3}{15} = \frac{8}{15} \) 5) \( \frac{12}{23} - \frac{5}{23} = \frac{7}{23} \) 6) \( \frac{8}{16} - \frac{4}{16} = \frac{4}{16} = \frac{1}{4} \) 7) \( \frac{49}{50} - \frac{19}{50} = \frac{30}{50} = \frac{3}{5} \) 8) \( \frac{17}{28} - \frac{5}{28} = \frac{12}{28} = \frac{3}{7} \) 9) \( \frac{18}{19} - \frac{3}{19} = \frac{15}{19} \) 10) \( \frac{40}{53} - \frac{33}{53} = \frac{7}{53} \) Столбец 3 (примеры с тремя дробями): 1) \( \frac{5}{14} + \frac{9}{14} - \frac{3}{14} = \frac{14-3}{14} = \frac{11}{14} \) 2) \( \frac{12}{22} + \frac{1}{22} + \frac{3}{22} = \frac{16}{22} = \frac{8}{11} \) 3) \( \frac{14}{17} + \frac{1}{17} + \frac{1}{17} = \frac{16}{17} \) 4) \( \frac{44}{54} - \frac{40}{54} + \frac{1}{54} = \frac{5}{54} \) 5) \( \frac{59}{63} - \frac{19}{63} - \frac{20}{63} = \frac{20}{63} \) 6) \( \frac{18}{23} + \frac{1}{23} - \frac{11}{23} = \frac{8}{23} \) 7) \( \frac{21}{77} + \frac{12}{77} + \frac{44}{77} = \frac{77}{77} = 1 \) 8) \( \frac{86}{87} - \frac{85}{87} + \frac{1}{87} = \frac{2}{87} \) 9) \( \frac{4}{10} + \frac{4}{10} - \frac{2}{10} = \frac{6}{10} = \frac{3}{5} \) 10) \( \frac{43}{99} + \frac{42}{99} + \frac{98}{99} = \frac{183}{99} = 1\frac{84}{99} = 1\frac{28}{33} \) Столбец 4 (примеры со скобками): 1) \( (\frac{13}{29} + \frac{9}{29}) - (\frac{1}{29} + \frac{2}{29}) = \frac{22}{29} - \frac{3}{29} = \frac{19}{29} \) 2) \( (\frac{13}{44} + \frac{18}{44}) - (\frac{4}{44} + \frac{9}{44}) = \frac{31}{44} - \frac{13}{44} = \frac{18}{44} = \frac{9}{22} \) 3) \( (\frac{6}{17} + \frac{11}{17}) - (\frac{2}{17} + \frac{7}{17}) = \frac{17}{17} - \frac{9}{17} = \frac{8}{17} \) 4) \( \frac{20}{25} - (\frac{1}{25} + \frac{9}{25} + \frac{5}{25}) = \frac{20}{25} - \frac{15}{25} = \frac{5}{25} = \frac{1}{5} \) 5) \( (\frac{16}{31} + \frac{11}{31}) - (\frac{12}{31} + \frac{1}{31}) = \frac{27}{31} - \frac{13}{31} = \frac{14}{31} \) 6) \( \frac{80}{88} - \frac{19}{88} - \frac{21}{88} - \frac{2}{88} = \frac{38}{88} = \frac{19}{44} \) 7) \( (\frac{11}{64} + \frac{11}{64}) - (\frac{11}{64} + \frac{1}{64}) = \frac{22}{64} - \frac{12}{64} = \frac{10}{64} = \frac{5}{32} \) 8) \( (\frac{7}{10} + \frac{1}{10} + \frac{1}{10}) - \frac{9}{10} = \frac{9}{10} - \frac{9}{10} = 0 \) 9) \( (\frac{14}{37} + \frac{13}{37}) - (\frac{2}{37} + \frac{7}{37}) = \frac{27}{37} - \frac{9}{37} = \frac{18}{37} \) 10) \( \frac{8}{50} - \frac{1}{50} + \frac{25}{50} - \frac{6}{50} = \frac{26}{50} = \frac{13}{25} \)