Вычислите: а) \(\frac{7}{48}:6\frac{6}{7}\); б) \(10\frac{3}{5}:1\frac{23}{30}\); в) \(3\frac{5}{9}:4\); г) \(4\frac{1}{5}:7\); д) \(45\frac{10}{29}:5\).

1. \(\frac{7}{48}:6\frac{6}{7}=\frac{7}{48}:\frac{48}{7}=\frac{7}{48}\cdot\frac{7}{48}=\frac{49}{2304}\).
2. \(10\frac{3}{5}:1\frac{23}{30}=\frac{53}{5}:\frac{53}{30}=\frac{53}{5}\cdot\frac{30}{53}=6\).
3. \(3\frac{5}{9}:4=\frac{32}{9}:4=\frac{32}{9}\cdot\frac14=\frac89\).
4. \(4\frac15:7=\frac{21}{5}:7=\frac{21}{5}\cdot\frac17=\frac35\).
5. \(45\frac{10}{29}:5=\frac{1315}{29}:5=\frac{1315}{29}\cdot\frac15=\frac{263}{29}=9\frac{2}{29}\).

Ответ: а) \(\frac{49}{2304}\); б) \(6\); в) \(\frac89\); г) \(\frac35\); д) \(9\frac{2}{29}\).