58. Выполните действия: 1) 6 \(\frac{7}{8}\) - 3 \(\frac{1}{3}\) + 5 \(\frac{5}{16}\) 2) 5 \(\frac{9}{14}\) - 2 \(\frac{3}{7}\) + 6,7 3) (15 \(\frac{5}{6}\) - 9 \(\frac{25}{27}\)) - 2 \(\frac{17}{18}\) 4) (18 - 10 \(\frac{5}{9}\)) - (6 \(\frac{1}{8}\) - 3 \(\frac{2}{3}\))

Решение:
1) 6 \(\frac{7}{8}\) - 3 \(\frac{1}{3}\) + 5 \(\frac{5}{16}\) = \(\frac{55}{8}\) - \(\frac{10}{3}\) + \(\frac{85}{16}\) = \(\frac{330}{48}\) - \(\frac{160}{48}\) + \(\frac{255}{48}\) = \(\frac{425}{48}\) = 8 \(\frac{41}{48}\)
2) 5 \(\frac{9}{14}\) - 2 \(\frac{3}{7}\) + 6,7 = 5 \(\frac{9}{14}\) - 2 \(\frac{6}{14}\) + 6 \(\frac{7}{10}\) = 3 \(\frac{3}{14}\) + 6 \(\frac{7}{10}\) = 9 + \(\frac{15}{70}\) + \(\frac{49}{70}\) = 9 \(\frac{64}{70}\) = 9 \(\frac{32}{35}\)
3) (15 \(\frac{5}{6}\) - 9 \(\frac{25}{27}\)) - 2 \(\frac{17}{18}\) = (\(\frac{95}{6}\) - \(\frac{268}{27}\)) - \(\frac{53}{18}\) = (\(\frac{855}{54}\) - \(\frac{536}{54}\)) - \(\frac{159}{54}\) = \(\frac{319}{54}\) - \(\frac{159}{54}\) = \(\frac{160}{54}\) = 2 \(\frac{52}{54}\) = 2 \(\frac{26}{27}\)
4) (18 - 10 \(\frac{5}{9}\)) - (6 \(\frac{1}{8}\) - 3 \(\frac{2}{3}\)) = (18 - \(\frac{95}{9}\)) - (\(\frac{49}{8}\) - \(\frac{11}{3}\)) = (\(\frac{162}{9}\) - \(\frac{95}{9}\)) - (\(\frac{147}{24}\) - \(\frac{88}{24}\)) = \(\frac{67}{9}\) - \(\frac{59}{24}\) = \(\frac{536}{72}\) - \(\frac{177}{72}\) = \(\frac{359}{72}\) = 4 \(\frac{71}{72}\)

Ответ:
1) 8 \(\frac{41}{48}\)
2) 9 \(\frac{32}{35}\)
3) 2 \(\frac{26}{27}\)
4) 4 \(\frac{71}{72}\)