5. (5 1/3 − 2 1/4) : 1 1/24 − (1 1/2 + 2 2/3) · 6/25

\(5\frac13-2\frac14=\frac{37}{12}\), поэтому \(\frac{37}{12}:1\frac1{24}=\frac{37}{12}\cdot\frac{24}{25}=\frac{74}{25}\).

\(1\frac12+2\frac23=\frac{25}{6}\), поэтому \(\frac{25}{6}\cdot\frac6{25}=1\).

\(\frac{74}{25}-1=\frac{49}{25}=1\frac{24}{25}\).

Ответ: \(1\frac{24}{25}\).