а) \(\frac{5}{9}:5 = \frac{5}{9}:\frac{5}{1} = \frac{5}{9} \cdot \frac{1}{5} = \frac{5 \cdot 1}{9 \cdot 5} = \frac{1}{9}\)
б) \(\frac{4}{7}:4 = \frac{4}{7}:\frac{4}{1} = \frac{4}{7} \cdot \frac{1}{4} = \frac{4 \cdot 1}{7 \cdot 4} = \frac{1}{7}\)
в) \(1:\frac{5}{13} = \frac{1}{1}:\frac{5}{13} = \frac{1}{1} \cdot \frac{13}{5} = \frac{1 \cdot 13}{1 \cdot 5} = \frac{13}{5} = 2\frac{3}{5}\)
Ответ: а) \(\frac{1}{9}\); б) \(\frac{1}{7}\); в) \(2\frac{3}{5}\)