[tex]\bf{The \ answer \ is \ 1\dfrac{55}{102} }[/tex]
[tex]\orange{{\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Process}}{\hspace{50pt}\above 1.2pt}}[/tex]
[tex]\sf{13\dfrac{1}{2}\div8\dfrac{2}{4}=\dfrac{13\times12+1}{12}\div\dfrac{8\times4+2}{4} = }[/tex]
[tex]\sf{\dfrac{156+1}{12}\div\dfrac{32+2}{4}=\dfrac{157}{12}\div\dfrac{34}{4}=\dfrac{157\times4}{12\times34}=\dfrac{628}{408}= }[/tex]
[tex]\sf{\dfrac{157\times4}{102\times4}=\dfrac{157}{102}=\red{1\dfrac{55}{102} } }[/tex]
I hope it helps you.