5.355 Вычислите: 1) \( \frac{5}{13} + \frac{4}{13} \), 2) \( \frac{9}{25} + \frac{2}{25} \), 3) \( 5 \frac{1}{2} - 4 \frac{1}{7} + 3 \frac{3}{4} \), 4) \( 9 \frac{1}{4} - 4 \frac{13}{13} \)

1) \( \frac{5}{13} + \frac{4}{13} = \frac{5+4}{13} = \frac{9}{13} \). 2) \( \frac{9}{25} + \frac{2}{25} = \frac{9+2}{25} = \frac{11}{25} \). 3) \(5 \frac{1}{2} - 4 \frac{1}{7} + 3 \frac{3}{4} = \frac{11}{2} - \frac{29}{7} + \frac{15}{4} = \frac{11 \cdot 14}{28} - \frac{29 \cdot 4}{28} + \frac{15 \cdot 7}{28} = \frac{154}{28} - \frac{116}{28} + \frac{105}{28} = \frac{154-116+105}{28} = \frac{143}{28} = 5 \frac{3}{28} \). 4) \( 9 \frac{1}{4} - 4 \frac{13}{13} = 9 \frac{1}{4} - 5 = 4 \frac{1}{4} \). Таким образом: 1) \(\frac{9}{13} \), 2) \(\frac{11}{25} \), 3) \(5 \frac{3}{28}\), 4) \(4 \frac{1}{4}\).