7. Выполните действия: 1) 5/7 + 5/14; 2) 23/24 − 7/8; 3) 4/15 : 8/25; 4) 4 3/25 · 2 7/12; 5) 11/13 · 26/44; 6) 6 7/14 : 2 5/6.

1. \(\frac{5}{7}+\frac{5}{14}=\frac{10}{14}+\frac{5}{14}=\frac{15}{14}=1\frac{1}{14}\).
2. \(\frac{23}{24}-\frac{7}{8}=\frac{23}{24}-\frac{21}{24}=\frac{2}{24}=\frac{1}{12}\).
3. \(\frac{4}{15}:\frac{8}{25}=\frac{4}{15}\cdot\frac{25}{8}=\frac{5}{6}\).
4. \(4\frac{3}{25}\cdot2\frac{7}{12}=\frac{103}{25}\cdot\frac{31}{12}=\frac{3193}{300}=10\frac{193}{300}\).
5. \(\frac{11}{13}\cdot\frac{26}{44}=\frac{11}{13}\cdot\frac{13}{22}=\frac{1}{2}\).
6. \(6\frac{7}{14}:2\frac{5}{6}=6\frac{1}{2}:2\frac{5}{6}=\frac{13}{2}:\frac{17}{6}=\frac{13}{2}\cdot\frac{6}{17}=\frac{39}{17}=2\frac{5}{17}\).

Ответ: 1) \(1\frac{1}{14}\); 2) \(\frac{1}{12}\); 3) \(\frac{5}{6}\); 4) \(10\frac{193}{300}\); 5) \(\frac{1}{2}\); 6) \(2\frac{5}{17}\).