Evaluate 3-2 1/2 divide by 1 1/4 + 7 1/12

Start to convert the mixed numbers into fractions
[tex]2\frac{1}{2}=\frac{5}{2}[/tex][tex]\begin{gathered} 1\frac{1}{4}=\frac{5}{4} \\ 7\frac{1}{12}=\frac{85}{12} \end{gathered}[/tex]then by the order of the operations, we make the division
[tex]\frac{\frac{5}{2}}{\frac{5}{4}}=\frac{5\cdot4}{5\cdot2}=2[/tex]then,
[tex]\begin{gathered} 3-2+7\frac{1}{12} \\ 1+7\frac{1}{12} \\ 1+\frac{85}{12} \\ \frac{97}{12} \end{gathered}[/tex]