Вычислите:
а) $\frac{1}{5} + \frac{3}{4} + \frac{1}{5} + \frac{1}{4}$;
б) $\frac{11}{12} + \frac{7}{10} + \frac{3}{100} + \frac{1}{12}$;
в) $\frac{12}{17} + \frac{15}{24} + \frac{3}{8} + \frac{5}{17}$;
г) $\frac{3}{7} + \frac{5}{9} + \frac{4}{9} + \frac{4}{7}$.
$\frac{1}{5} + \frac{3}{4} + \frac{1}{5} + \frac{1}{4} = (\frac{1}{5} + \frac{1}{5}) + (\frac{3}{4} + \frac{1}{4}) = \frac{1 + 1}{5} + \frac{3 + 1}{4} = \frac{2}{5} + \frac{4}{4} = \frac{2}{5} + 1 = \frac{2}{5} + \frac{5}{5} = \frac{7}{5}$
$\frac{11}{12} + \frac{7}{10} + \frac{3}{100} + \frac{1}{12} = (\frac{11}{12} + \frac{1}{12}) + (\frac{7}{10} + \frac{3}{100}) = \frac{12}{12} + (\frac{70}{100} + \frac{3}{100}) = 1 + \frac{73}{100} = \frac{100}{100} + \frac{73}{100} = \frac{173}{100}$
$\frac{12}{17} + \frac{15}{24} + \frac{3}{8} + \frac{5}{17} = (\frac{12}{17} + \frac{5}{17}) + (\frac{15}{24} + \frac{3}{8}) = \frac{17}{17} + (\frac{15}{24} + \frac{9}{24}) = 1 + \frac{24}{24} = 1 + 1 = 2$
$\frac{3}{7} + \frac{5}{9} + \frac{4}{9} + \frac{4}{7} = (\frac{3}{7} + \frac{4}{7}) + (\frac{5}{9} + \frac{4}{9}) = \frac{7}{7} + \frac{9}{9} = 1 + 1 = 2$
Пожауйста, оцените решение
