\[\left( 7 - 5\frac{1}{4} \right) - \left( 1\frac{4}{9} + 4\frac{5}{9} - 5\frac{1}{2} \right) =\]
\[= 1\frac{3}{4} - 5\frac{9}{9} + 5\frac{1^{\backslash 2}}{2} =\]
\[= 6 + \frac{3 + 2}{4} - 6 = \frac{5}{4} = 1\frac{1}{4}.\]