$$\left({\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right){\mathtt{\,-\,}}\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{4}}}{{\mathtt{7}}}}\right) = {\frac{{\mathtt{27}}}{{\mathtt{14}}}} = {\mathtt{1.928\: \!571\: \!428\: \!571\: \!428\: \!6}}$$
3(4/7)=3.571..
5(1/2)= 5.5
5.5-3.571..= 1.9286..
addiere 1.9286 zu den 3.571 und du erhälst die 5.5:)
$$\left({\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right){\mathtt{\,-\,}}\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{4}}}{{\mathtt{7}}}}\right) = {\frac{{\mathtt{27}}}{{\mathtt{14}}}} = {\mathtt{1.928\: \!571\: \!428\: \!571\: \!428\: \!6}}$$