!Frage!

$${\frac{{\mathtt{1}}}{{\mathtt{4}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{3}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{x}} = {\mathtt{1}}$$

$${\mathtt{x}} = {\mathtt{1}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{3}}}}$$

$${\mathtt{1}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{3}}}} = {\frac{{\mathtt{5}}}{{\mathtt{12}}}} = {\mathtt{0.416\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

$${\frac{{\mathtt{12}}}{{\mathtt{12}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{3}}}{{\mathtt{12}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{4}}}{{\mathtt{12}}}} = {\frac{{\mathtt{5}}}{{\mathtt{12}}}}$$

Für Beate bleiben  $${\frac{{\mathtt{5}}}{{\mathtt{12}}}} = {\mathtt{0.416\: \!666\: \!666\: \!666\: \!666\: \!7}}$$  vom Kuchen übrig.

Gruß radix !