Ответ:

\(\frac{11}{10}-\frac{4}{11}=\frac{121-40}{110}=\frac{81}{110}\).

\(\frac{81}{110}:\frac{15}{44}=\frac{81}{110}\cdot\frac{44}{15}=\frac{54}{25}=2\frac{4}{25}\).

Ответ: \(2\frac{4}{25}\).