Вариант 1. 5. Найдите значение выражения: 2 4/15 − (2 − 1 1/15) : 4/9 + 2/3.

\(2\frac{4}{15}=\frac{34}{15}\), \(1\frac{1}{15}=\frac{16}{15}\).

\(2−1\frac{1}{15}=\frac{14}{15}\).

\(\frac{34}{15}−\frac{14}{15}:\frac{4}{9}+\frac{2}{3}=\frac{34}{15}−\frac{14}{15}\cdot\frac{9}{4}+\frac{2}{3}=\frac{34}{15}−\frac{21}{10}+\frac{2}{3}=\frac{5}{6}\).

Ответ: \(\frac{5}{6}\).