340. Вычислите значение выражения наиболее удобным способом: 1) \(\frac{4}{11} + \frac{5}{33} + \frac{6}{33} + \frac{7}{11}\); 2) \(\frac{1}{25} + \frac{3}{20} + \frac{4}{25} + \frac{1}{20}\); 3) \(\frac{13}{72} + \frac{5}{56} + \frac{5}{72} + \frac{9}{56}\); 4) 1 \(\frac{5}{28}\) + 2 \(\frac{17}{64}\) + 3 \(\frac{2}{28}\) + 4 \(\frac{7}{64}\).

1) \(\frac{4}{11} + \frac{5}{33} + \frac{6}{33} + \frac{7}{11} = (\frac{4}{11} + \frac{7}{11}) + (\frac{5}{33} + \frac{6}{33}) = \frac{4+7}{11} + \frac{5+6}{33} = \frac{11}{11} + \frac{11}{33} = 1 + \frac{1}{3} = 1 \frac{1}{3}\)

Ответ: 1 \(\frac{1}{3}\)

2) \(\frac{1}{25} + \frac{3}{20} + \frac{4}{25} + \frac{1}{20} = (\frac{1}{25} + \frac{4}{25}) + (\frac{3}{20} + \frac{1}{20}) = \frac{1+4}{25} + \frac{3+1}{20} = \frac{5}{25} + \frac{4}{20} = \frac{1}{5} + \frac{1}{5} = \frac{1+1}{5} = \frac{2}{5}\)

Ответ: \(\frac{2}{5}\)

3) \(\frac{13}{72} + \frac{5}{56} + \frac{5}{72} + \frac{9}{56} = (\frac{13}{72} + \frac{5}{72}) + (\frac{5}{56} + \frac{9}{56}) = \frac{13+5}{72} + \frac{5+9}{56} = \frac{18}{72} + \frac{14}{56} = \frac{1}{4} + \frac{1}{4} = \frac{1+1}{4} = \frac{2}{4} = \frac{1}{2}\)

Ответ: \(\frac{1}{2}\)

4) \(1 \frac{5}{28} + 2 \frac{17}{64} + 3 \frac{2}{28} + 4 \frac{7}{64} = (1 \frac{5}{28} + 3 \frac{2}{28}) + (2 \frac{17}{64} + 4 \frac{7}{64}) = (1 + 3) + (\frac{5}{28} + \frac{2}{28}) + (2 + 4) + (\frac{17}{64} + \frac{7}{64}) = 4 + \frac{5+2}{28} + 6 + \frac{17+7}{64} = 4 + \frac{7}{28} + 6 + \frac{24}{64} = 4 + \frac{1}{4} + 6 + \frac{3}{8} = 10 + \frac{1}{4} + \frac{3}{8} = 10 + \frac{1 \cdot 2}{4 \cdot 2} + \frac{3}{8} = 10 + \frac{2}{8} + \frac{3}{8} = 10 + \frac{2+3}{8} = 10 + \frac{5}{8} = 10 \frac{5}{8}\)

Ответ: 10 \(\frac{5}{8}\)