Решение:
\(x: 6 = 5\frac{7}{24}\)
\(x = 5\frac{7}{24} \cdot 6\)
\(x = \frac{127}{24} \cdot 6\)
\(x = \frac{127 \cdot 6}{24}\)
\(x = \frac{127}{4}\)
\(x = 31\frac{3}{4}\)
Ответ: \(31\frac{3}{4}\)