2.428. Выполните действия: а) \((4\frac{1}{3}+2\frac{3}{15}):(4\frac{1}{5}-1\frac{8}{25})\); б) \((8\frac{11}{24}-7\frac{1}{12}):(3\frac{1}{4}+2\frac{1}{8})\).

а) \((4\frac{1}{3}+2\frac{3}{15}):(4\frac{1}{5}-1\frac{8}{25})=\left(\frac{13}{3}+\frac{11}{5}\right):\left(\frac{21}{5}-\frac{33}{25}\right)=\frac{98}{15}:\frac{72}{25}=\frac{98}{15}\cdot\frac{25}{72}=\frac{245}{108}=2\frac{29}{108}\).

б) \((8\frac{11}{24}-7\frac{1}{12}):(3\frac{1}{4}+2\frac{1}{8})=\left(\frac{203}{24}-\frac{169}{24}\right):\left(\frac{13}{4}+\frac{17}{8}\right)=\frac{17}{12}:\frac{43}{8}=\frac{17}{12}\cdot\frac{8}{43}=\frac{34}{129}\).

Ответ: а) \(2\frac{29}{108}\); б) \(\frac{34}{129}\).