Пример 4. \(\left(4,8-2\frac{2}{3}\right):\frac{8}{15}+\left(0,4+\frac{1}{4}\right)\cdot1,6\)

\(4,8=\frac{24}{5}\), \(2\frac{2}{3}=\frac{8}{3}\), \(0,4=\frac{2}{5}\), \(1,6=\frac{8}{5}\).

1. \(4,8-2\frac{2}{3}=\frac{24}{5}-\frac{8}{3}=\frac{72-40}{15}=\frac{32}{15}\).
2. \(\frac{32}{15}:\frac{8}{15}=\frac{32}{15}\cdot\frac{15}{8}=4\).
3. \(0,4+\frac{1}{4}=\frac{2}{5}+\frac{1}{4}=\frac{13}{20}\).
4. \(\frac{13}{20}\cdot1,6=\frac{13}{20}\cdot\frac{8}{5}=\frac{26}{25}=1,04\).
5. \(4+1,04=5,04\).

Ответ: \(5,04\).