\(\frac{24}{25}:\frac25=\frac{24}{25}\cdot\frac52=\frac{12}{5}\).
\(\frac{12}{5}:6=\frac{12}{5}\cdot\frac16=\frac25\).
\(\frac25-\frac13=\frac{6-5}{15}=\frac1{15}\).
\(\frac1{15}:\frac15=\frac13\).
\(\frac13+\frac16=\frac12\).
Ответ: \(\frac12\).