The given expression is
[tex]7\frac{1}{2}-4\frac{3}{4}[/tex]First, we transform each mixed number into a fraction
[tex]\begin{gathered} 7\frac{1}{2}=\frac{7\cdot2+1}{2}=\frac{14+1}{2}=\frac{15}{2} \\ 4\frac{3}{4}=\frac{4\cdot4+3}{4}=\frac{16+3}{4}=\frac{19}{4} \end{gathered}[/tex]Then, we subtract
[tex]\frac{15}{2}-\frac{19}{4}=\frac{15\cdot4-2\cdot19}{2\cdot4}=\frac{60-38}{8}=\frac{22}{8}=2\frac{3}{4}[/tex]