849. Вычислить: 3) \(5\frac{7}{12} - 3\frac{17}{36}\) : \(2\frac{1}{4} + 4\frac{3}{26} + \frac{1}{2}\)

Решение:

1. \( 5\frac{7}{12} - 3\frac{17}{36} = 5\frac{21}{36} - 3\frac{17}{36} = 2\frac{4}{36} = 2\frac{1}{9} = \frac{19}{9} \)
2. \( \frac{19}{9} : 2\frac{1}{4} = \frac{19}{9} : \frac{9}{4} = \frac{19}{9} \cdot \frac{4}{9} = \frac{76}{81} \)
3. \( 4\frac{3}{26} + \frac{1}{2} = \frac{107}{26} + \frac{1}{2} = \frac{107 + 13}{26} = \frac{120}{26} = \frac{60}{13} \)
4. \( \frac{76}{81} + \frac{60}{13} = \frac{76 \cdot 13 + 60 \cdot 81}{81 \cdot 13} = \frac{988 + 4860}{1053} = \frac{5848}{1053} \)

Ответ: \(\frac{5848}{1053}\).