\(11\dfrac{1}{4}-\left(2\dfrac{5}{6}+5\dfrac{1}{4}\right)\)
\(=\dfrac{45}{4}-\left(\dfrac{17}{6}+\dfrac{21}{4}\right)\)
\(=\dfrac{45}{4}-\left(\dfrac{34}{12}+\dfrac{63}{12}\right)\)
\(=\dfrac{45}{4}-\dfrac{97}{12}\)
\(=\dfrac{135}{12}-\dfrac{97}{12}=\dfrac{38}{12}=\dfrac{19}{6}\)
\(11\dfrac{1}{4}-\left(2\dfrac{5}{7}+5\dfrac{1}{4}\right)=\dfrac{45}{4}-\left(\dfrac{19}{7}+\dfrac{21}{4}\right)=\dfrac{45}{4}-\dfrac{223}{28}=\dfrac{23}{7}\)